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Finding the Third Proportional to 972,031.50 and 2,120,935.50

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Solution

The third proportional to 972,031.50 and 2,120,935.50 is: 4,627,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,031.50 : 2,120,935.50 = 2,120,935.50 : x
  2. Step 2: Convert to fraction form
    972,031.50/2,120,935.50 = 2,120,935.50/x
  3. Step 3: Cross multiply
    972,031.50x = 2,120,935.50 × 2,120,935.50
  4. Step 4: Simplify right side
    972,031.50x = 4,498,367,395,160.25
  5. Step 5: Solve for x
    x = 4,498,367,395,160.25/972,031.50
  6. Step 6: Final answer
    x = 4,627,800.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.