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Finding the Third Proportional to 971,246 and 2,135,223

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Solution

The third proportional to 971,246 and 2,135,223 is: 4,694,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,246 : 2,135,223 = 2,135,223 : x
  2. Step 2: Convert to fraction form
    971,246/2,135,223 = 2,135,223/x
  3. Step 3: Cross multiply
    971,246x = 2,135,223 × 2,135,223
  4. Step 4: Simplify right side
    971,246x = 4,559,177,259,729
  5. Step 5: Solve for x
    x = 4,559,177,259,729/971,246
  6. Step 6: Final answer
    x = 4,694,152.93

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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.