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Finding the Third Proportional to 469,860 and 715,806

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Solution

The third proportional to 469,860 and 715,806 is: 1,090,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,860 : 715,806 = 715,806 : x
  2. Step 2: Convert to fraction form
    469,860/715,806 = 715,806/x
  3. Step 3: Cross multiply
    469,860x = 715,806 × 715,806
  4. Step 4: Simplify right side
    469,860x = 512,378,229,636
  5. Step 5: Solve for x
    x = 512,378,229,636/469,860
  6. Step 6: Final answer
    x = 1,090,491.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.