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Finding the Third Proportional to 4,732,938 and 6,767,523

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Solution

The third proportional to 4,732,938 and 6,767,523 is: 9,676,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,938 : 6,767,523 = 6,767,523 : x
  2. Step 2: Convert to fraction form
    4,732,938/6,767,523 = 6,767,523/x
  3. Step 3: Cross multiply
    4,732,938x = 6,767,523 × 6,767,523
  4. Step 4: Simplify right side
    4,732,938x = 45,799,367,555,529
  5. Step 5: Solve for x
    x = 45,799,367,555,529/4,732,938
  6. Step 6: Final answer
    x = 9,676,730.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.