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Finding the Third Proportional to 480,102 and 1,034,561

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Solution

The third proportional to 480,102 and 1,034,561 is: 2,229,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,102 : 1,034,561 = 1,034,561 : x
  2. Step 2: Convert to fraction form
    480,102/1,034,561 = 1,034,561/x
  3. Step 3: Cross multiply
    480,102x = 1,034,561 × 1,034,561
  4. Step 4: Simplify right side
    480,102x = 1,070,316,462,721
  5. Step 5: Solve for x
    x = 1,070,316,462,721/480,102
  6. Step 6: Final answer
    x = 2,229,352.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.