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Finding the Third Proportional to 466,854 and 1,024,482

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Solution

The third proportional to 466,854 and 1,024,482 is: 2,248,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,854 : 1,024,482 = 1,024,482 : x
  2. Step 2: Convert to fraction form
    466,854/1,024,482 = 1,024,482/x
  3. Step 3: Cross multiply
    466,854x = 1,024,482 × 1,024,482
  4. Step 4: Simplify right side
    466,854x = 1,049,563,368,324
  5. Step 5: Solve for x
    x = 1,049,563,368,324/466,854
  6. Step 6: Final answer
    x = 2,248,161.88

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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.