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Finding the Third Proportional to 1,376,565.75 and 2,952,357.75

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Solution

The third proportional to 1,376,565.75 and 2,952,357.75 is: 6,332,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,565.75 : 2,952,357.75 = 2,952,357.75 : x
  2. Step 2: Convert to fraction form
    1,376,565.75/2,952,357.75 = 2,952,357.75/x
  3. Step 3: Cross multiply
    1,376,565.75x = 2,952,357.75 × 2,952,357.75
  4. Step 4: Simplify right side
    1,376,565.75x = 8,716,416,283,985.06
  5. Step 5: Solve for x
    x = 8,716,416,283,985.06/1,376,565.75
  6. Step 6: Final answer
    x = 6,332,001.42

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