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Finding the Third Proportional to 1,098,768 and 2,281,742.25

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Solution

The third proportional to 1,098,768 and 2,281,742.25 is: 4,738,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,768 : 2,281,742.25 = 2,281,742.25 : x
  2. Step 2: Convert to fraction form
    1,098,768/2,281,742.25 = 2,281,742.25/x
  3. Step 3: Cross multiply
    1,098,768x = 2,281,742.25 × 2,281,742.25
  4. Step 4: Simplify right side
    1,098,768x = 5,206,347,695,435.06
  5. Step 5: Solve for x
    x = 5,206,347,695,435.06/1,098,768
  6. Step 6: Final answer
    x = 4,738,350.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.