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Finding the Third Proportional to 616,033 and 921,543

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Solution

The third proportional to 616,033 and 921,543 is: 1,378,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,033 : 921,543 = 921,543 : x
  2. Step 2: Convert to fraction form
    616,033/921,543 = 921,543/x
  3. Step 3: Cross multiply
    616,033x = 921,543 × 921,543
  4. Step 4: Simplify right side
    616,033x = 849,241,500,849
  5. Step 5: Solve for x
    x = 849,241,500,849/616,033
  6. Step 6: Final answer
    x = 1,378,564.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.