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Finding the Third Proportional to 1,281,460 and 2,818,719

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Solution

The third proportional to 1,281,460 and 2,818,719 is: 6,200,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,460 : 2,818,719 = 2,818,719 : x
  2. Step 2: Convert to fraction form
    1,281,460/2,818,719 = 2,818,719/x
  3. Step 3: Cross multiply
    1,281,460x = 2,818,719 × 2,818,719
  4. Step 4: Simplify right side
    1,281,460x = 7,945,176,800,961
  5. Step 5: Solve for x
    x = 7,945,176,800,961/1,281,460
  6. Step 6: Final answer
    x = 6,200,097.39

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Why These Related Problems?

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