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Finding the Third Proportional to 502,566 and 1,083,864

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Solution

The third proportional to 502,566 and 1,083,864 is: 2,337,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,566 : 1,083,864 = 1,083,864 : x
  2. Step 2: Convert to fraction form
    502,566/1,083,864 = 1,083,864/x
  3. Step 3: Cross multiply
    502,566x = 1,083,864 × 1,083,864
  4. Step 4: Simplify right side
    502,566x = 1,174,761,170,496
  5. Step 5: Solve for x
    x = 1,174,761,170,496/502,566
  6. Step 6: Final answer
    x = 2,337,526.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.