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Finding the Third Proportional to 846,657 and 1,811,151

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Solution

The third proportional to 846,657 and 1,811,151 is: 3,874,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,657 : 1,811,151 = 1,811,151 : x
  2. Step 2: Convert to fraction form
    846,657/1,811,151 = 1,811,151/x
  3. Step 3: Cross multiply
    846,657x = 1,811,151 × 1,811,151
  4. Step 4: Simplify right side
    846,657x = 3,280,267,944,801
  5. Step 5: Solve for x
    x = 3,280,267,944,801/846,657
  6. Step 6: Final answer
    x = 3,874,376.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.