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Finding the Third Proportional to 971,680 and 2,134,664

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Solution

The third proportional to 971,680 and 2,134,664 is: 4,689,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,680 : 2,134,664 = 2,134,664 : x
  2. Step 2: Convert to fraction form
    971,680/2,134,664 = 2,134,664/x
  3. Step 3: Cross multiply
    971,680x = 2,134,664 × 2,134,664
  4. Step 4: Simplify right side
    971,680x = 4,556,790,392,896
  5. Step 5: Solve for x
    x = 4,556,790,392,896/971,680
  6. Step 6: Final answer
    x = 4,689,599.86

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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.