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Finding the Third Proportional to 721,971 and 1,144,197

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Solution

The third proportional to 721,971 and 1,144,197 is: 1,813,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,971 : 1,144,197 = 1,144,197 : x
  2. Step 2: Convert to fraction form
    721,971/1,144,197 = 1,144,197/x
  3. Step 3: Cross multiply
    721,971x = 1,144,197 × 1,144,197
  4. Step 4: Simplify right side
    721,971x = 1,309,186,774,809
  5. Step 5: Solve for x
    x = 1,309,186,774,809/721,971
  6. Step 6: Final answer
    x = 1,813,350.92

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Why These Related Problems?

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