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Finding the Third Proportional to 527,887.13 and 1,152,571.78

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Solution

The third proportional to 527,887.13 and 1,152,571.78 is: 2,516,488.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,887.13 : 1,152,571.78 = 1,152,571.78 : x
  2. Step 2: Convert to fraction form
    527,887.13/1,152,571.78 = 1,152,571.78/x
  3. Step 3: Cross multiply
    527,887.13x = 1,152,571.78 × 1,152,571.78
  4. Step 4: Simplify right side
    527,887.13x = 1,328,421,710,933.80
  5. Step 5: Solve for x
    x = 1,328,421,710,933.80/527,887.13
  6. Step 6: Final answer
    x = 2,516,488.18

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Why These Related Problems?

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