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Finding the Third Proportional to 3,073,429 and 4,510,497

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Solution

The third proportional to 3,073,429 and 4,510,497 is: 6,619,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,429 : 4,510,497 = 4,510,497 : x
  2. Step 2: Convert to fraction form
    3,073,429/4,510,497 = 4,510,497/x
  3. Step 3: Cross multiply
    3,073,429x = 4,510,497 × 4,510,497
  4. Step 4: Simplify right side
    3,073,429x = 20,344,583,187,009
  5. Step 5: Solve for x
    x = 20,344,583,187,009/3,073,429
  6. Step 6: Final answer
    x = 6,619,506.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.