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Finding the Third Proportional to 814,056 and 1,772,748

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Solution

The third proportional to 814,056 and 1,772,748 is: 3,860,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,056 : 1,772,748 = 1,772,748 : x
  2. Step 2: Convert to fraction form
    814,056/1,772,748 = 1,772,748/x
  3. Step 3: Cross multiply
    814,056x = 1,772,748 × 1,772,748
  4. Step 4: Simplify right side
    814,056x = 3,142,635,471,504
  5. Step 5: Solve for x
    x = 3,142,635,471,504/814,056
  6. Step 6: Final answer
    x = 3,860,465.95

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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.