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Finding the Third Proportional to 730,966.78 and 1,124,994.66

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Solution

The third proportional to 730,966.78 and 1,124,994.66 is: 1,731,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,966.78 : 1,124,994.66 = 1,124,994.66 : x
  2. Step 2: Convert to fraction form
    730,966.78/1,124,994.66 = 1,124,994.66/x
  3. Step 3: Cross multiply
    730,966.78x = 1,124,994.66 × 1,124,994.66
  4. Step 4: Simplify right side
    730,966.78x = 1,265,612,976,591.06
  5. Step 5: Solve for x
    x = 1,265,612,976,591.06/730,966.78
  6. Step 6: Final answer
    x = 1,731,423.38

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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.