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Finding the Third Proportional to 971,700 and 2,134,706

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Solution

The third proportional to 971,700 and 2,134,706 is: 4,689,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,700 : 2,134,706 = 2,134,706 : x
  2. Step 2: Convert to fraction form
    971,700/2,134,706 = 2,134,706/x
  3. Step 3: Cross multiply
    971,700x = 2,134,706 × 2,134,706
  4. Step 4: Simplify right side
    971,700x = 4,556,969,706,436
  5. Step 5: Solve for x
    x = 4,556,969,706,436/971,700
  6. Step 6: Final answer
    x = 4,689,687.87

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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.