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Finding the Third Proportional to 650,931 and 1,371,846

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Solution

The third proportional to 650,931 and 1,371,846 is: 2,891,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,931 : 1,371,846 = 1,371,846 : x
  2. Step 2: Convert to fraction form
    650,931/1,371,846 = 1,371,846/x
  3. Step 3: Cross multiply
    650,931x = 1,371,846 × 1,371,846
  4. Step 4: Simplify right side
    650,931x = 1,881,961,447,716
  5. Step 5: Solve for x
    x = 1,881,961,447,716/650,931
  6. Step 6: Final answer
    x = 2,891,184.24

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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.