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Finding the Third Proportional to 1,046,129 and 1,616,511

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Solution

The third proportional to 1,046,129 and 1,616,511 is: 2,497,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,129 : 1,616,511 = 1,616,511 : x
  2. Step 2: Convert to fraction form
    1,046,129/1,616,511 = 1,616,511/x
  3. Step 3: Cross multiply
    1,046,129x = 1,616,511 × 1,616,511
  4. Step 4: Simplify right side
    1,046,129x = 2,613,107,813,121
  5. Step 5: Solve for x
    x = 2,613,107,813,121/1,046,129
  6. Step 6: Final answer
    x = 2,497,882.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.