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Finding the Third Proportional to 536,551 and 1,166,289

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Solution

The third proportional to 536,551 and 1,166,289 is: 2,535,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,551 : 1,166,289 = 1,166,289 : x
  2. Step 2: Convert to fraction form
    536,551/1,166,289 = 1,166,289/x
  3. Step 3: Cross multiply
    536,551x = 1,166,289 × 1,166,289
  4. Step 4: Simplify right side
    536,551x = 1,360,230,031,521
  5. Step 5: Solve for x
    x = 1,360,230,031,521/536,551
  6. Step 6: Final answer
    x = 2,535,136.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.