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Finding the Third Proportional to 2,932,421 and 4,293,655

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Solution

The third proportional to 2,932,421 and 4,293,655 is: 6,286,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932,421 : 4,293,655 = 4,293,655 : x
  2. Step 2: Convert to fraction form
    2,932,421/4,293,655 = 4,293,655/x
  3. Step 3: Cross multiply
    2,932,421x = 4,293,655 × 4,293,655
  4. Step 4: Simplify right side
    2,932,421x = 18,435,473,259,025
  5. Step 5: Solve for x
    x = 18,435,473,259,025/2,932,421
  6. Step 6: Final answer
    x = 6,286,775.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.