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Finding the Third Proportional to 762,484 and 1,016,530

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Solution

The third proportional to 762,484 and 1,016,530 is: 1,355,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,484 : 1,016,530 = 1,016,530 : x
  2. Step 2: Convert to fraction form
    762,484/1,016,530 = 1,016,530/x
  3. Step 3: Cross multiply
    762,484x = 1,016,530 × 1,016,530
  4. Step 4: Simplify right side
    762,484x = 1,033,333,240,900
  5. Step 5: Solve for x
    x = 1,033,333,240,900/762,484
  6. Step 6: Final answer
    x = 1,355,219.57

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.