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Finding the Third Proportional to 3,002,836 and 4,653,566

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Solution

The third proportional to 3,002,836 and 4,653,566 is: 7,211,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002,836 : 4,653,566 = 4,653,566 : x
  2. Step 2: Convert to fraction form
    3,002,836/4,653,566 = 4,653,566/x
  3. Step 3: Cross multiply
    3,002,836x = 4,653,566 × 4,653,566
  4. Step 4: Simplify right side
    3,002,836x = 21,655,676,516,356
  5. Step 5: Solve for x
    x = 21,655,676,516,356/3,002,836
  6. Step 6: Final answer
    x = 7,211,741.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.