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Finding the Third Proportional to 471,382 and 1,024,730

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Solution

The third proportional to 471,382 and 1,024,730 is: 2,227,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,382 : 1,024,730 = 1,024,730 : x
  2. Step 2: Convert to fraction form
    471,382/1,024,730 = 1,024,730/x
  3. Step 3: Cross multiply
    471,382x = 1,024,730 × 1,024,730
  4. Step 4: Simplify right side
    471,382x = 1,050,071,572,900
  5. Step 5: Solve for x
    x = 1,050,071,572,900/471,382
  6. Step 6: Final answer
    x = 2,227,644.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.