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Finding the Third Proportional to 527,568.19 and 1,073,780.93

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Solution

The third proportional to 527,568.19 and 1,073,780.93 is: 2,185,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,568.19 : 1,073,780.93 = 1,073,780.93 : x
  2. Step 2: Convert to fraction form
    527,568.19/1,073,780.93 = 1,073,780.93/x
  3. Step 3: Cross multiply
    527,568.19x = 1,073,780.93 × 1,073,780.93
  4. Step 4: Simplify right side
    527,568.19x = 1,153,005,484,960.55
  5. Step 5: Solve for x
    x = 1,153,005,484,960.55/527,568.19
  6. Step 6: Final answer
    x = 2,185,509.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.