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Finding the Third Proportional to 971,684 and 2,134,672

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Solution

The third proportional to 971,684 and 2,134,672 is: 4,689,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,684 : 2,134,672 = 2,134,672 : x
  2. Step 2: Convert to fraction form
    971,684/2,134,672 = 2,134,672/x
  3. Step 3: Cross multiply
    971,684x = 2,134,672 × 2,134,672
  4. Step 4: Simplify right side
    971,684x = 4,556,824,547,584
  5. Step 5: Solve for x
    x = 4,556,824,547,584/971,684
  6. Step 6: Final answer
    x = 4,689,615.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.