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Finding the Third Proportional to 581,806 and 1,234,040

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Solution

The third proportional to 581,806 and 1,234,040 is: 2,617,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,806 : 1,234,040 = 1,234,040 : x
  2. Step 2: Convert to fraction form
    581,806/1,234,040 = 1,234,040/x
  3. Step 3: Cross multiply
    581,806x = 1,234,040 × 1,234,040
  4. Step 4: Simplify right side
    581,806x = 1,522,854,721,600
  5. Step 5: Solve for x
    x = 1,522,854,721,600/581,806
  6. Step 6: Final answer
    x = 2,617,461.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.