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Finding the Third Proportional to 3,254,912 and 4,734,624

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Solution

The third proportional to 3,254,912 and 4,734,624 is: 6,887,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254,912 : 4,734,624 = 4,734,624 : x
  2. Step 2: Convert to fraction form
    3,254,912/4,734,624 = 4,734,624/x
  3. Step 3: Cross multiply
    3,254,912x = 4,734,624 × 4,734,624
  4. Step 4: Simplify right side
    3,254,912x = 22,416,664,421,376
  5. Step 5: Solve for x
    x = 22,416,664,421,376/3,254,912
  6. Step 6: Final answer
    x = 6,887,026.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.