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Finding the Third Proportional to 724,446 and 1,583,514

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Solution

The third proportional to 724,446 and 1,583,514 is: 3,461,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,446 : 1,583,514 = 1,583,514 : x
  2. Step 2: Convert to fraction form
    724,446/1,583,514 = 1,583,514/x
  3. Step 3: Cross multiply
    724,446x = 1,583,514 × 1,583,514
  4. Step 4: Simplify right side
    724,446x = 2,507,516,588,196
  5. Step 5: Solve for x
    x = 2,507,516,588,196/724,446
  6. Step 6: Final answer
    x = 3,461,288.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.