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Finding the Third Proportional to 1,660,785.75 and 2,711,890.13

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Solution

The third proportional to 1,660,785.75 and 2,711,890.13 is: 4,428,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660,785.75 : 2,711,890.13 = 2,711,890.13 : x
  2. Step 2: Convert to fraction form
    1,660,785.75/2,711,890.13 = 2,711,890.13/x
  3. Step 3: Cross multiply
    1,660,785.75x = 2,711,890.13 × 2,711,890.13
  4. Step 4: Simplify right side
    1,660,785.75x = 7,354,348,050,072.52
  5. Step 5: Solve for x
    x = 7,354,348,050,072.52/1,660,785.75
  6. Step 6: Final answer
    x = 4,428,234.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.