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Finding the Third Proportional to 526,228 and 1,141,160

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Solution

The third proportional to 526,228 and 1,141,160 is: 2,474,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,228 : 1,141,160 = 1,141,160 : x
  2. Step 2: Convert to fraction form
    526,228/1,141,160 = 1,141,160/x
  3. Step 3: Cross multiply
    526,228x = 1,141,160 × 1,141,160
  4. Step 4: Simplify right side
    526,228x = 1,302,246,145,600
  5. Step 5: Solve for x
    x = 1,302,246,145,600/526,228
  6. Step 6: Final answer
    x = 2,474,680.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.