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Finding the Third Proportional to 556,000 and 1,198,464

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Solution

The third proportional to 556,000 and 1,198,464 is: 2,583,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,000 : 1,198,464 = 1,198,464 : x
  2. Step 2: Convert to fraction form
    556,000/1,198,464 = 1,198,464/x
  3. Step 3: Cross multiply
    556,000x = 1,198,464 × 1,198,464
  4. Step 4: Simplify right side
    556,000x = 1,436,315,959,296
  5. Step 5: Solve for x
    x = 1,436,315,959,296/556,000
  6. Step 6: Final answer
    x = 2,583,302.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.