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Finding the Third Proportional to 487,988.25 and 1,035,023.25

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Solution

The third proportional to 487,988.25 and 1,035,023.25 is: 2,195,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,988.25 : 1,035,023.25 = 1,035,023.25 : x
  2. Step 2: Convert to fraction form
    487,988.25/1,035,023.25 = 1,035,023.25/x
  3. Step 3: Cross multiply
    487,988.25x = 1,035,023.25 × 1,035,023.25
  4. Step 4: Simplify right side
    487,988.25x = 1,071,273,128,040.56
  5. Step 5: Solve for x
    x = 1,071,273,128,040.56/487,988.25
  6. Step 6: Final answer
    x = 2,195,284.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.