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Finding the Third Proportional to 4,052,220 and 6,416,586

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Solution

The third proportional to 4,052,220 and 6,416,586 is: 10,160,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,220 : 6,416,586 = 6,416,586 : x
  2. Step 2: Convert to fraction form
    4,052,220/6,416,586 = 6,416,586/x
  3. Step 3: Cross multiply
    4,052,220x = 6,416,586 × 6,416,586
  4. Step 4: Simplify right side
    4,052,220x = 41,172,575,895,396
  5. Step 5: Solve for x
    x = 41,172,575,895,396/4,052,220
  6. Step 6: Final answer
    x = 10,160,498.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.