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Finding the Third Proportional to 4,309,787 and 6,427,312

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Solution

The third proportional to 4,309,787 and 6,427,312 is: 9,585,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309,787 : 6,427,312 = 6,427,312 : x
  2. Step 2: Convert to fraction form
    4,309,787/6,427,312 = 6,427,312/x
  3. Step 3: Cross multiply
    4,309,787x = 6,427,312 × 6,427,312
  4. Step 4: Simplify right side
    4,309,787x = 41,310,339,545,344
  5. Step 5: Solve for x
    x = 41,310,339,545,344/4,309,787
  6. Step 6: Final answer
    x = 9,585,239.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.