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Finding the Third Proportional to 5,092,834 and 6,920,763

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Solution

The third proportional to 5,092,834 and 6,920,763 is: 9,404,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092,834 : 6,920,763 = 6,920,763 : x
  2. Step 2: Convert to fraction form
    5,092,834/6,920,763 = 6,920,763/x
  3. Step 3: Cross multiply
    5,092,834x = 6,920,763 × 6,920,763
  4. Step 4: Simplify right side
    5,092,834x = 47,896,960,502,169
  5. Step 5: Solve for x
    x = 47,896,960,502,169/5,092,834
  6. Step 6: Final answer
    x = 9,404,775.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.