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Finding the Third Proportional to 971,142 and 2,135,010

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Solution

The third proportional to 971,142 and 2,135,010 is: 4,693,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,142 : 2,135,010 = 2,135,010 : x
  2. Step 2: Convert to fraction form
    971,142/2,135,010 = 2,135,010/x
  3. Step 3: Cross multiply
    971,142x = 2,135,010 × 2,135,010
  4. Step 4: Simplify right side
    971,142x = 4,558,267,700,100
  5. Step 5: Solve for x
    x = 4,558,267,700,100/971,142
  6. Step 6: Final answer
    x = 4,693,719.04

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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.