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Finding the Third Proportional to 1,865,952 and 2,970,540

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Solution

The third proportional to 1,865,952 and 2,970,540 is: 4,729,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,952 : 2,970,540 = 2,970,540 : x
  2. Step 2: Convert to fraction form
    1,865,952/2,970,540 = 2,970,540/x
  3. Step 3: Cross multiply
    1,865,952x = 2,970,540 × 2,970,540
  4. Step 4: Simplify right side
    1,865,952x = 8,824,107,891,600
  5. Step 5: Solve for x
    x = 8,824,107,891,600/1,865,952
  6. Step 6: Final answer
    x = 4,729,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.