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Finding the Third Proportional to 466,570 and 1,023,536

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Solution

The third proportional to 466,570 and 1,023,536 is: 2,245,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,570 : 1,023,536 = 1,023,536 : x
  2. Step 2: Convert to fraction form
    466,570/1,023,536 = 1,023,536/x
  3. Step 3: Cross multiply
    466,570x = 1,023,536 × 1,023,536
  4. Step 4: Simplify right side
    466,570x = 1,047,625,943,296
  5. Step 5: Solve for x
    x = 1,047,625,943,296/466,570
  6. Step 6: Final answer
    x = 2,245,377.85

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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.