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Finding the Third Proportional to 470,118 and 1,033,548

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Solution

The third proportional to 470,118 and 1,033,548 is: 2,272,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,118 : 1,033,548 = 1,033,548 : x
  2. Step 2: Convert to fraction form
    470,118/1,033,548 = 1,033,548/x
  3. Step 3: Cross multiply
    470,118x = 1,033,548 × 1,033,548
  4. Step 4: Simplify right side
    470,118x = 1,068,221,468,304
  5. Step 5: Solve for x
    x = 1,068,221,468,304/470,118
  6. Step 6: Final answer
    x = 2,272,241.16

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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.