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Finding the Third Proportional to 466,856 and 1,024,486

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Solution

The third proportional to 466,856 and 1,024,486 is: 2,248,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,856 : 1,024,486 = 1,024,486 : x
  2. Step 2: Convert to fraction form
    466,856/1,024,486 = 1,024,486/x
  3. Step 3: Cross multiply
    466,856x = 1,024,486 × 1,024,486
  4. Step 4: Simplify right side
    466,856x = 1,049,571,564,196
  5. Step 5: Solve for x
    x = 1,049,571,564,196/466,856
  6. Step 6: Final answer
    x = 2,248,169.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.