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Finding the Third Proportional to 559,484 and 843,868

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Solution

The third proportional to 559,484 and 843,868 is: 1,272,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,484 : 843,868 = 843,868 : x
  2. Step 2: Convert to fraction form
    559,484/843,868 = 843,868/x
  3. Step 3: Cross multiply
    559,484x = 843,868 × 843,868
  4. Step 4: Simplify right side
    559,484x = 712,113,201,424
  5. Step 5: Solve for x
    x = 712,113,201,424/559,484
  6. Step 6: Final answer
    x = 1,272,803.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.