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Finding the Third Proportional to 710,617.78 and 1,093,373.30

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Solution

The third proportional to 710,617.78 and 1,093,373.30 is: 1,682,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,617.78 : 1,093,373.30 = 1,093,373.30 : x
  2. Step 2: Convert to fraction form
    710,617.78/1,093,373.30 = 1,093,373.30/x
  3. Step 3: Cross multiply
    710,617.78x = 1,093,373.30 × 1,093,373.30
  4. Step 4: Simplify right side
    710,617.78x = 1,195,465,166,319.31
  5. Step 5: Solve for x
    x = 1,195,465,166,319.31/710,617.78
  6. Step 6: Final answer
    x = 1,682,289.97

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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.