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Finding the Third Proportional to 971,698 and 2,134,700

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Solution

The third proportional to 971,698 and 2,134,700 is: 4,689,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,698 : 2,134,700 = 2,134,700 : x
  2. Step 2: Convert to fraction form
    971,698/2,134,700 = 2,134,700/x
  3. Step 3: Cross multiply
    971,698x = 2,134,700 × 2,134,700
  4. Step 4: Simplify right side
    971,698x = 4,556,944,090,000
  5. Step 5: Solve for x
    x = 4,556,944,090,000/971,698
  6. Step 6: Final answer
    x = 4,689,671.16

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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.