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Finding the Third Proportional to 2,649,192 and 4,196,706

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Solution

The third proportional to 2,649,192 and 4,196,706 is: 6,648,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,192 : 4,196,706 = 4,196,706 : x
  2. Step 2: Convert to fraction form
    2,649,192/4,196,706 = 4,196,706/x
  3. Step 3: Cross multiply
    2,649,192x = 4,196,706 × 4,196,706
  4. Step 4: Simplify right side
    2,649,192x = 17,612,341,250,436
  5. Step 5: Solve for x
    x = 17,612,341,250,436/2,649,192
  6. Step 6: Final answer
    x = 6,648,193.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.