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Finding the Third Proportional to 2,029,730 and 4,416,775

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Solution

The third proportional to 2,029,730 and 4,416,775 is: 9,611,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029,730 : 4,416,775 = 4,416,775 : x
  2. Step 2: Convert to fraction form
    2,029,730/4,416,775 = 4,416,775/x
  3. Step 3: Cross multiply
    2,029,730x = 4,416,775 × 4,416,775
  4. Step 4: Simplify right side
    2,029,730x = 19,507,901,400,625
  5. Step 5: Solve for x
    x = 19,507,901,400,625/2,029,730
  6. Step 6: Final answer
    x = 9,611,081.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.