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Finding the Third Proportional to 814,042 and 1,772,712

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Solution

The third proportional to 814,042 and 1,772,712 is: 3,860,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,042 : 1,772,712 = 1,772,712 : x
  2. Step 2: Convert to fraction form
    814,042/1,772,712 = 1,772,712/x
  3. Step 3: Cross multiply
    814,042x = 1,772,712 × 1,772,712
  4. Step 4: Simplify right side
    814,042x = 3,142,507,834,944
  5. Step 5: Solve for x
    x = 3,142,507,834,944/814,042
  6. Step 6: Final answer
    x = 3,860,375.55

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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.