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Finding the Third Proportional to 2,860,962 and 6,186,532

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Solution

The third proportional to 2,860,962 and 6,186,532 is: 13,377,730.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860,962 : 6,186,532 = 6,186,532 : x
  2. Step 2: Convert to fraction form
    2,860,962/6,186,532 = 6,186,532/x
  3. Step 3: Cross multiply
    2,860,962x = 6,186,532 × 6,186,532
  4. Step 4: Simplify right side
    2,860,962x = 38,273,178,187,024
  5. Step 5: Solve for x
    x = 38,273,178,187,024/2,860,962
  6. Step 6: Final answer
    x = 13,377,730.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.