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Finding the Third Proportional to 1,523,691 and 3,173,493.94

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Solution

The third proportional to 1,523,691 and 3,173,493.94 is: 6,609,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,691 : 3,173,493.94 = 3,173,493.94 : x
  2. Step 2: Convert to fraction form
    1,523,691/3,173,493.94 = 3,173,493.94/x
  3. Step 3: Cross multiply
    1,523,691x = 3,173,493.94 × 3,173,493.94
  4. Step 4: Simplify right side
    1,523,691x = 10,071,063,771,349.25
  5. Step 5: Solve for x
    x = 10,071,063,771,349.25/1,523,691
  6. Step 6: Final answer
    x = 6,609,649.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.