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Finding the Third Proportional to 4,660,350 and 6,296,436

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Solution

The third proportional to 4,660,350 and 6,296,436 is: 8,506,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,350 : 6,296,436 = 6,296,436 : x
  2. Step 2: Convert to fraction form
    4,660,350/6,296,436 = 6,296,436/x
  3. Step 3: Cross multiply
    4,660,350x = 6,296,436 × 6,296,436
  4. Step 4: Simplify right side
    4,660,350x = 39,645,106,302,096
  5. Step 5: Solve for x
    x = 39,645,106,302,096/4,660,350
  6. Step 6: Final answer
    x = 8,506,894.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.