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Finding the Third Proportional to 762,928 and 1,656,948

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Solution

The third proportional to 762,928 and 1,656,948 is: 3,598,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,928 : 1,656,948 = 1,656,948 : x
  2. Step 2: Convert to fraction form
    762,928/1,656,948 = 1,656,948/x
  3. Step 3: Cross multiply
    762,928x = 1,656,948 × 1,656,948
  4. Step 4: Simplify right side
    762,928x = 2,745,476,674,704
  5. Step 5: Solve for x
    x = 2,745,476,674,704/762,928
  6. Step 6: Final answer
    x = 3,598,605.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.