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Finding the Third Proportional to 469,432 and 1,024,884

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Solution

The third proportional to 469,432 and 1,024,884 is: 2,237,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,432 : 1,024,884 = 1,024,884 : x
  2. Step 2: Convert to fraction form
    469,432/1,024,884 = 1,024,884/x
  3. Step 3: Cross multiply
    469,432x = 1,024,884 × 1,024,884
  4. Step 4: Simplify right side
    469,432x = 1,050,387,213,456
  5. Step 5: Solve for x
    x = 1,050,387,213,456/469,432
  6. Step 6: Final answer
    x = 2,237,570.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.