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Finding the Third Proportional to 4,660,338 and 6,296,397

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Solution

The third proportional to 4,660,338 and 6,296,397 is: 8,506,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660,338 : 6,296,397 = 6,296,397 : x
  2. Step 2: Convert to fraction form
    4,660,338/6,296,397 = 6,296,397/x
  3. Step 3: Cross multiply
    4,660,338x = 6,296,397 × 6,296,397
  4. Step 4: Simplify right side
    4,660,338x = 39,644,615,181,609
  5. Step 5: Solve for x
    x = 39,644,615,181,609/4,660,338
  6. Step 6: Final answer
    x = 8,506,811.13

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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.