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Finding the Third Proportional to 466,617 and 1,023,636

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Solution

The third proportional to 466,617 and 1,023,636 is: 2,245,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,617 : 1,023,636 = 1,023,636 : x
  2. Step 2: Convert to fraction form
    466,617/1,023,636 = 1,023,636/x
  3. Step 3: Cross multiply
    466,617x = 1,023,636 × 1,023,636
  4. Step 4: Simplify right side
    466,617x = 1,047,830,660,496
  5. Step 5: Solve for x
    x = 1,047,830,660,496/466,617
  6. Step 6: Final answer
    x = 2,245,590.41

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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.