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Finding the Third Proportional to 1,403,184 and 2,981,280

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Solution

The third proportional to 1,403,184 and 2,981,280 is: 6,334,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,184 : 2,981,280 = 2,981,280 : x
  2. Step 2: Convert to fraction form
    1,403,184/2,981,280 = 2,981,280/x
  3. Step 3: Cross multiply
    1,403,184x = 2,981,280 × 2,981,280
  4. Step 4: Simplify right side
    1,403,184x = 8,888,030,438,400
  5. Step 5: Solve for x
    x = 8,888,030,438,400/1,403,184
  6. Step 6: Final answer
    x = 6,334,187.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.