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Finding the Third Proportional to 857,150 and 1,260,120.50

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Solution

The third proportional to 857,150 and 1,260,120.50 is: 1,852,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,150 : 1,260,120.50 = 1,260,120.50 : x
  2. Step 2: Convert to fraction form
    857,150/1,260,120.50 = 1,260,120.50/x
  3. Step 3: Cross multiply
    857,150x = 1,260,120.50 × 1,260,120.50
  4. Step 4: Simplify right side
    857,150x = 1,587,903,674,520.25
  5. Step 5: Solve for x
    x = 1,587,903,674,520.25/857,150
  6. Step 6: Final answer
    x = 1,852,538.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.