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Finding the Third Proportional to 1,021,749 and 2,168,031

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Solution

The third proportional to 1,021,749 and 2,168,031 is: 4,600,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,749 : 2,168,031 = 2,168,031 : x
  2. Step 2: Convert to fraction form
    1,021,749/2,168,031 = 2,168,031/x
  3. Step 3: Cross multiply
    1,021,749x = 2,168,031 × 2,168,031
  4. Step 4: Simplify right side
    1,021,749x = 4,700,358,416,961
  5. Step 5: Solve for x
    x = 4,700,358,416,961/1,021,749
  6. Step 6: Final answer
    x = 4,600,306.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.