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Finding the Third Proportional to 971,951 and 2,159,624

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Solution

The third proportional to 971,951 and 2,159,624 is: 4,798,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,951 : 2,159,624 = 2,159,624 : x
  2. Step 2: Convert to fraction form
    971,951/2,159,624 = 2,159,624/x
  3. Step 3: Cross multiply
    971,951x = 2,159,624 × 2,159,624
  4. Step 4: Simplify right side
    971,951x = 4,663,975,821,376
  5. Step 5: Solve for x
    x = 4,663,975,821,376/971,951
  6. Step 6: Final answer
    x = 4,798,570.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.