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Finding the Third Proportional to 982,426 and 1,477,284

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Solution

The third proportional to 982,426 and 1,477,284 is: 2,221,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,426 : 1,477,284 = 1,477,284 : x
  2. Step 2: Convert to fraction form
    982,426/1,477,284 = 1,477,284/x
  3. Step 3: Cross multiply
    982,426x = 1,477,284 × 1,477,284
  4. Step 4: Simplify right side
    982,426x = 2,182,368,016,656
  5. Step 5: Solve for x
    x = 2,182,368,016,656/982,426
  6. Step 6: Final answer
    x = 2,221,407.02

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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.