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Finding the Third Proportional to 787,046.63 and 1,215,356.91

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Solution

The third proportional to 787,046.63 and 1,215,356.91 is: 1,876,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,046.63 : 1,215,356.91 = 1,215,356.91 : x
  2. Step 2: Convert to fraction form
    787,046.63/1,215,356.91 = 1,215,356.91/x
  3. Step 3: Cross multiply
    787,046.63x = 1,215,356.91 × 1,215,356.91
  4. Step 4: Simplify right side
    787,046.63x = 1,477,092,409,569.57
  5. Step 5: Solve for x
    x = 1,477,092,409,569.57/787,046.63
  6. Step 6: Final answer
    x = 1,876,753.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.