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Finding the Third Proportional to 971,140 and 2,135,006

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Solution

The third proportional to 971,140 and 2,135,006 is: 4,693,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,140 : 2,135,006 = 2,135,006 : x
  2. Step 2: Convert to fraction form
    971,140/2,135,006 = 2,135,006/x
  3. Step 3: Cross multiply
    971,140x = 2,135,006 × 2,135,006
  4. Step 4: Simplify right side
    971,140x = 4,558,250,620,036
  5. Step 5: Solve for x
    x = 4,558,250,620,036/971,140
  6. Step 6: Final answer
    x = 4,693,711.12

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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.