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Finding the Third Proportional to 2,005,297 and 4,330,169

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Solution

The third proportional to 2,005,297 and 4,330,169 is: 9,350,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,297 : 4,330,169 = 4,330,169 : x
  2. Step 2: Convert to fraction form
    2,005,297/4,330,169 = 4,330,169/x
  3. Step 3: Cross multiply
    2,005,297x = 4,330,169 × 4,330,169
  4. Step 4: Simplify right side
    2,005,297x = 18,750,363,568,561
  5. Step 5: Solve for x
    x = 18,750,363,568,561/2,005,297
  6. Step 6: Final answer
    x = 9,350,417.20

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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.