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Finding the Third Proportional to 857,966.25 and 1,295,742

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Solution

The third proportional to 857,966.25 and 1,295,742 is: 1,956,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,966.25 : 1,295,742 = 1,295,742 : x
  2. Step 2: Convert to fraction form
    857,966.25/1,295,742 = 1,295,742/x
  3. Step 3: Cross multiply
    857,966.25x = 1,295,742 × 1,295,742
  4. Step 4: Simplify right side
    857,966.25x = 1,678,947,330,564
  5. Step 5: Solve for x
    x = 1,678,947,330,564/857,966.25
  6. Step 6: Final answer
    x = 1,956,892.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.