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Finding the Third Proportional to 791,572 and 1,866,756

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Solution

The third proportional to 791,572 and 1,866,756 is: 4,402,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,572 : 1,866,756 = 1,866,756 : x
  2. Step 2: Convert to fraction form
    791,572/1,866,756 = 1,866,756/x
  3. Step 3: Cross multiply
    791,572x = 1,866,756 × 1,866,756
  4. Step 4: Simplify right side
    791,572x = 3,484,777,963,536
  5. Step 5: Solve for x
    x = 3,484,777,963,536/791,572
  6. Step 6: Final answer
    x = 4,402,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.