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Finding the Third Proportional to 527,877 and 1,151,046

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Solution

The third proportional to 527,877 and 1,151,046 is: 2,509,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,877 : 1,151,046 = 1,151,046 : x
  2. Step 2: Convert to fraction form
    527,877/1,151,046 = 1,151,046/x
  3. Step 3: Cross multiply
    527,877x = 1,151,046 × 1,151,046
  4. Step 4: Simplify right side
    527,877x = 1,324,906,894,116
  5. Step 5: Solve for x
    x = 1,324,906,894,116/527,877
  6. Step 6: Final answer
    x = 2,509,878.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.