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Finding the Third Proportional to 887,284.13 and 1,448,722.13

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Solution

The third proportional to 887,284.13 and 1,448,722.13 is: 2,365,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,284.13 : 1,448,722.13 = 1,448,722.13 : x
  2. Step 2: Convert to fraction form
    887,284.13/1,448,722.13 = 1,448,722.13/x
  3. Step 3: Cross multiply
    887,284.13x = 1,448,722.13 × 1,448,722.13
  4. Step 4: Simplify right side
    887,284.13x = 2,098,795,795,464.52
  5. Step 5: Solve for x
    x = 2,098,795,795,464.52/887,284.13
  6. Step 6: Final answer
    x = 2,365,415.70

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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.