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Finding the Third Proportional to 917,642,684.25 and 1,402,796,796.75

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Solution

The third proportional to 917,642,684.25 and 1,402,796,796.75 is: 2,144,449,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,642,684.25 : 1,402,796,796.75 = 1,402,796,796.75 : x
  2. Step 2: Convert to fraction form
    917,642,684.25/1,402,796,796.75 = 1,402,796,796.75/x
  3. Step 3: Cross multiply
    917,642,684.25x = 1,402,796,796.75 × 1,402,796,796.75
  4. Step 4: Simplify right side
    917,642,684.25x = 1,967,838,852,972,060,928
  5. Step 5: Solve for x
    x = 1,967,838,852,972,060,928/917,642,684.25
  6. Step 6: Final answer
    x = 2,144,449,998.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.