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Finding the Third Proportional to 803,210 and 1,177,983

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Solution

The third proportional to 803,210 and 1,177,983 is: 1,727,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,210 : 1,177,983 = 1,177,983 : x
  2. Step 2: Convert to fraction form
    803,210/1,177,983 = 1,177,983/x
  3. Step 3: Cross multiply
    803,210x = 1,177,983 × 1,177,983
  4. Step 4: Simplify right side
    803,210x = 1,387,643,948,289
  5. Step 5: Solve for x
    x = 1,387,643,948,289/803,210
  6. Step 6: Final answer
    x = 1,727,622.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.