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Finding the Third Proportional to 524,767 and 1,122,484

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Solution

The third proportional to 524,767 and 1,122,484 is: 2,401,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,767 : 1,122,484 = 1,122,484 : x
  2. Step 2: Convert to fraction form
    524,767/1,122,484 = 1,122,484/x
  3. Step 3: Cross multiply
    524,767x = 1,122,484 × 1,122,484
  4. Step 4: Simplify right side
    524,767x = 1,259,970,330,256
  5. Step 5: Solve for x
    x = 1,259,970,330,256/524,767
  6. Step 6: Final answer
    x = 2,401,009.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.