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Finding the Third Proportional to 677,065.50 and 1,475,587.13

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Solution

The third proportional to 677,065.50 and 1,475,587.13 is: 3,215,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,065.50 : 1,475,587.13 = 1,475,587.13 : x
  2. Step 2: Convert to fraction form
    677,065.50/1,475,587.13 = 1,475,587.13/x
  3. Step 3: Cross multiply
    677,065.50x = 1,475,587.13 × 1,475,587.13
  4. Step 4: Simplify right side
    677,065.50x = 2,177,357,363,465.77
  5. Step 5: Solve for x
    x = 2,177,357,363,465.77/677,065.50
  6. Step 6: Final answer
    x = 3,215,874.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.