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Finding the Third Proportional to 971,690 and 2,134,684

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Solution

The third proportional to 971,690 and 2,134,684 is: 4,689,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,690 : 2,134,684 = 2,134,684 : x
  2. Step 2: Convert to fraction form
    971,690/2,134,684 = 2,134,684/x
  3. Step 3: Cross multiply
    971,690x = 2,134,684 × 2,134,684
  4. Step 4: Simplify right side
    971,690x = 4,556,875,779,856
  5. Step 5: Solve for x
    x = 4,556,875,779,856/971,690
  6. Step 6: Final answer
    x = 4,689,639.47

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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.