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Finding the Third Proportional to 1,031,840 and 1,401,212

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Solution

The third proportional to 1,031,840 and 1,401,212 is: 1,902,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,840 : 1,401,212 = 1,401,212 : x
  2. Step 2: Convert to fraction form
    1,031,840/1,401,212 = 1,401,212/x
  3. Step 3: Cross multiply
    1,031,840x = 1,401,212 × 1,401,212
  4. Step 4: Simplify right side
    1,031,840x = 1,963,395,068,944
  5. Step 5: Solve for x
    x = 1,963,395,068,944/1,031,840
  6. Step 6: Final answer
    x = 1,902,809.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.