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Finding the Third Proportional to 707,162.25 and 1,574,385.38

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Solution

The third proportional to 707,162.25 and 1,574,385.38 is: 3,505,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,162.25 : 1,574,385.38 = 1,574,385.38 : x
  2. Step 2: Convert to fraction form
    707,162.25/1,574,385.38 = 1,574,385.38/x
  3. Step 3: Cross multiply
    707,162.25x = 1,574,385.38 × 1,574,385.38
  4. Step 4: Simplify right side
    707,162.25x = 2,478,689,309,013.89
  5. Step 5: Solve for x
    x = 2,478,689,309,013.89/707,162.25
  6. Step 6: Final answer
    x = 3,505,121.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.