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Finding the Third Proportional to 650,929 and 1,371,842

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Solution

The third proportional to 650,929 and 1,371,842 is: 2,891,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,929 : 1,371,842 = 1,371,842 : x
  2. Step 2: Convert to fraction form
    650,929/1,371,842 = 1,371,842/x
  3. Step 3: Cross multiply
    650,929x = 1,371,842 × 1,371,842
  4. Step 4: Simplify right side
    650,929x = 1,881,950,472,964
  5. Step 5: Solve for x
    x = 1,881,950,472,964/650,929
  6. Step 6: Final answer
    x = 2,891,176.26

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.