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Finding the Third Proportional to 919,092 and 1,346,598

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Solution

The third proportional to 919,092 and 1,346,598 is: 1,972,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,092 : 1,346,598 = 1,346,598 : x
  2. Step 2: Convert to fraction form
    919,092/1,346,598 = 1,346,598/x
  3. Step 3: Cross multiply
    919,092x = 1,346,598 × 1,346,598
  4. Step 4: Simplify right side
    919,092x = 1,813,326,173,604
  5. Step 5: Solve for x
    x = 1,813,326,173,604/919,092
  6. Step 6: Final answer
    x = 1,972,953.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.