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Finding the Third Proportional to 2,018,684 and 4,413,532

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Solution

The third proportional to 2,018,684 and 4,413,532 is: 9,649,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018,684 : 4,413,532 = 4,413,532 : x
  2. Step 2: Convert to fraction form
    2,018,684/4,413,532 = 4,413,532/x
  3. Step 3: Cross multiply
    2,018,684x = 4,413,532 × 4,413,532
  4. Step 4: Simplify right side
    2,018,684x = 19,479,264,715,024
  5. Step 5: Solve for x
    x = 19,479,264,715,024/2,018,684
  6. Step 6: Final answer
    x = 9,649,486.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.