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Finding the Third Proportional to 4,131,726 and 6,315,953

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Solution

The third proportional to 4,131,726 and 6,315,953 is: 9,654,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131,726 : 6,315,953 = 6,315,953 : x
  2. Step 2: Convert to fraction form
    4,131,726/6,315,953 = 6,315,953/x
  3. Step 3: Cross multiply
    4,131,726x = 6,315,953 × 6,315,953
  4. Step 4: Simplify right side
    4,131,726x = 39,891,262,298,209
  5. Step 5: Solve for x
    x = 39,891,262,298,209/4,131,726
  6. Step 6: Final answer
    x = 9,654,866.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.