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Finding the Third Proportional to 1,703,612.25 and 3,643,602.75

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Solution

The third proportional to 1,703,612.25 and 3,643,602.75 is: 7,792,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,612.25 : 3,643,602.75 = 3,643,602.75 : x
  2. Step 2: Convert to fraction form
    1,703,612.25/3,643,602.75 = 3,643,602.75/x
  3. Step 3: Cross multiply
    1,703,612.25x = 3,643,602.75 × 3,643,602.75
  4. Step 4: Simplify right side
    1,703,612.25x = 13,275,840,999,807.56
  5. Step 5: Solve for x
    x = 13,275,840,999,807.56/1,703,612.25
  6. Step 6: Final answer
    x = 7,792,759.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.