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Finding the Third Proportional to 724,332 and 1,574,604

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Solution

The third proportional to 724,332 and 1,574,604 is: 3,422,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,332 : 1,574,604 = 1,574,604 : x
  2. Step 2: Convert to fraction form
    724,332/1,574,604 = 1,574,604/x
  3. Step 3: Cross multiply
    724,332x = 1,574,604 × 1,574,604
  4. Step 4: Simplify right side
    724,332x = 2,479,377,756,816
  5. Step 5: Solve for x
    x = 2,479,377,756,816/724,332
  6. Step 6: Final answer
    x = 3,422,985.26

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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.