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Finding the Third Proportional to 466,716 and 1,017,904

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Solution

The third proportional to 466,716 and 1,017,904 is: 2,220,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,716 : 1,017,904 = 1,017,904 : x
  2. Step 2: Convert to fraction form
    466,716/1,017,904 = 1,017,904/x
  3. Step 3: Cross multiply
    466,716x = 1,017,904 × 1,017,904
  4. Step 4: Simplify right side
    466,716x = 1,036,128,553,216
  5. Step 5: Solve for x
    x = 1,036,128,553,216/466,716
  6. Step 6: Final answer
    x = 2,220,040.78

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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.