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Finding the Third Proportional to 762,071 and 1,704,574

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Solution

The third proportional to 762,071 and 1,704,574 is: 3,812,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,071 : 1,704,574 = 1,704,574 : x
  2. Step 2: Convert to fraction form
    762,071/1,704,574 = 1,704,574/x
  3. Step 3: Cross multiply
    762,071x = 1,704,574 × 1,704,574
  4. Step 4: Simplify right side
    762,071x = 2,905,572,521,476
  5. Step 5: Solve for x
    x = 2,905,572,521,476/762,071
  6. Step 6: Final answer
    x = 3,812,732.04

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.