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Finding the Third Proportional to 982,258 and 1,477,049

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Solution

The third proportional to 982,258 and 1,477,049 is: 2,221,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,258 : 1,477,049 = 1,477,049 : x
  2. Step 2: Convert to fraction form
    982,258/1,477,049 = 1,477,049/x
  3. Step 3: Cross multiply
    982,258x = 1,477,049 × 1,477,049
  4. Step 4: Simplify right side
    982,258x = 2,181,673,748,401
  5. Step 5: Solve for x
    x = 2,181,673,748,401/982,258
  6. Step 6: Final answer
    x = 2,221,080.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.