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Finding the Third Proportional to 500,787.56 and 1,061,165.81

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Solution

The third proportional to 500,787.56 and 1,061,165.81 is: 2,248,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,787.56 : 1,061,165.81 = 1,061,165.81 : x
  2. Step 2: Convert to fraction form
    500,787.56/1,061,165.81 = 1,061,165.81/x
  3. Step 3: Cross multiply
    500,787.56x = 1,061,165.81 × 1,061,165.81
  4. Step 4: Simplify right side
    500,787.56x = 1,126,072,881,618.79
  5. Step 5: Solve for x
    x = 1,126,072,881,618.79/500,787.56
  6. Step 6: Final answer
    x = 2,248,603.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.