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Finding the Third Proportional to 700,596 and 1,109,540

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Solution

The third proportional to 700,596 and 1,109,540 is: 1,757,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,596 : 1,109,540 = 1,109,540 : x
  2. Step 2: Convert to fraction form
    700,596/1,109,540 = 1,109,540/x
  3. Step 3: Cross multiply
    700,596x = 1,109,540 × 1,109,540
  4. Step 4: Simplify right side
    700,596x = 1,231,079,011,600
  5. Step 5: Solve for x
    x = 1,231,079,011,600/700,596
  6. Step 6: Final answer
    x = 1,757,188.18

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.