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Finding the Third Proportional to 1,581,822 and 3,732,534

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Solution

The third proportional to 1,581,822 and 3,732,534 is: 8,807,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,822 : 3,732,534 = 3,732,534 : x
  2. Step 2: Convert to fraction form
    1,581,822/3,732,534 = 3,732,534/x
  3. Step 3: Cross multiply
    1,581,822x = 3,732,534 × 3,732,534
  4. Step 4: Simplify right side
    1,581,822x = 13,931,810,061,156
  5. Step 5: Solve for x
    x = 13,931,810,061,156/1,581,822
  6. Step 6: Final answer
    x = 8,807,444.87

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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.