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Finding the Third Proportional to 517,812 and 1,107,592.50

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Solution

The third proportional to 517,812 and 1,107,592.50 is: 2,369,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,812 : 1,107,592.50 = 1,107,592.50 : x
  2. Step 2: Convert to fraction form
    517,812/1,107,592.50 = 1,107,592.50/x
  3. Step 3: Cross multiply
    517,812x = 1,107,592.50 × 1,107,592.50
  4. Step 4: Simplify right side
    517,812x = 1,226,761,146,056.25
  5. Step 5: Solve for x
    x = 1,226,761,146,056.25/517,812
  6. Step 6: Final answer
    x = 2,369,124.60

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Why These Related Problems?

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