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Finding the Third Proportional to 643,902 and 1,398,528

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Solution

The third proportional to 643,902 and 1,398,528 is: 3,037,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,902 : 1,398,528 = 1,398,528 : x
  2. Step 2: Convert to fraction form
    643,902/1,398,528 = 1,398,528/x
  3. Step 3: Cross multiply
    643,902x = 1,398,528 × 1,398,528
  4. Step 4: Simplify right side
    643,902x = 1,955,880,566,784
  5. Step 5: Solve for x
    x = 1,955,880,566,784/643,902
  6. Step 6: Final answer
    x = 3,037,543.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.