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Finding the Third Proportional to 4,105,778 and 6,002,658

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Solution

The third proportional to 4,105,778 and 6,002,658 is: 8,775,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105,778 : 6,002,658 = 6,002,658 : x
  2. Step 2: Convert to fraction form
    4,105,778/6,002,658 = 6,002,658/x
  3. Step 3: Cross multiply
    4,105,778x = 6,002,658 × 6,002,658
  4. Step 4: Simplify right side
    4,105,778x = 36,031,903,064,964
  5. Step 5: Solve for x
    x = 36,031,903,064,964/4,105,778
  6. Step 6: Final answer
    x = 8,775,901.44

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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.