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Finding the Third Proportional to 564,749 and 1,211,389

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Solution

The third proportional to 564,749 and 1,211,389 is: 2,598,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,749 : 1,211,389 = 1,211,389 : x
  2. Step 2: Convert to fraction form
    564,749/1,211,389 = 1,211,389/x
  3. Step 3: Cross multiply
    564,749x = 1,211,389 × 1,211,389
  4. Step 4: Simplify right side
    564,749x = 1,467,463,309,321
  5. Step 5: Solve for x
    x = 1,467,463,309,321/564,749
  6. Step 6: Final answer
    x = 2,598,434.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.