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Finding the Third Proportional to 466,636 and 1,023,664

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Solution

The third proportional to 466,636 and 1,023,664 is: 2,245,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,636 : 1,023,664 = 1,023,664 : x
  2. Step 2: Convert to fraction form
    466,636/1,023,664 = 1,023,664/x
  3. Step 3: Cross multiply
    466,636x = 1,023,664 × 1,023,664
  4. Step 4: Simplify right side
    466,636x = 1,047,887,984,896
  5. Step 5: Solve for x
    x = 1,047,887,984,896/466,636
  6. Step 6: Final answer
    x = 2,245,621.82

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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.