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Finding the Third Proportional to 721,060 and 1,669,210

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Solution

The third proportional to 721,060 and 1,669,210 is: 3,864,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,060 : 1,669,210 = 1,669,210 : x
  2. Step 2: Convert to fraction form
    721,060/1,669,210 = 1,669,210/x
  3. Step 3: Cross multiply
    721,060x = 1,669,210 × 1,669,210
  4. Step 4: Simplify right side
    721,060x = 2,786,262,024,100
  5. Step 5: Solve for x
    x = 2,786,262,024,100/721,060
  6. Step 6: Final answer
    x = 3,864,119.52

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.