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Finding the Third Proportional to 1,281,460 and 2,818,716

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Solution

The third proportional to 1,281,460 and 2,818,716 is: 6,200,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,460 : 2,818,716 = 2,818,716 : x
  2. Step 2: Convert to fraction form
    1,281,460/2,818,716 = 2,818,716/x
  3. Step 3: Cross multiply
    1,281,460x = 2,818,716 × 2,818,716
  4. Step 4: Simplify right side
    1,281,460x = 7,945,159,888,656
  5. Step 5: Solve for x
    x = 7,945,159,888,656/1,281,460
  6. Step 6: Final answer
    x = 6,200,084.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.