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Finding the Third Proportional to 579,878 and 1,199,534

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Solution

The third proportional to 579,878 and 1,199,534 is: 2,481,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,878 : 1,199,534 = 1,199,534 : x
  2. Step 2: Convert to fraction form
    579,878/1,199,534 = 1,199,534/x
  3. Step 3: Cross multiply
    579,878x = 1,199,534 × 1,199,534
  4. Step 4: Simplify right side
    579,878x = 1,438,881,817,156
  5. Step 5: Solve for x
    x = 1,438,881,817,156/579,878
  6. Step 6: Final answer
    x = 2,481,352.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.