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Finding the Third Proportional to 4,449,742 and 6,686,460

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Solution

The third proportional to 4,449,742 and 6,686,460 is: 10,047,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449,742 : 6,686,460 = 6,686,460 : x
  2. Step 2: Convert to fraction form
    4,449,742/6,686,460 = 6,686,460/x
  3. Step 3: Cross multiply
    4,449,742x = 6,686,460 × 6,686,460
  4. Step 4: Simplify right side
    4,449,742x = 44,708,747,331,600
  5. Step 5: Solve for x
    x = 44,708,747,331,600/4,449,742
  6. Step 6: Final answer
    x = 10,047,492.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.