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Finding the Third Proportional to 527,296 and 1,137,536

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Solution

The third proportional to 527,296 and 1,137,536 is: 2,454,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,296 : 1,137,536 = 1,137,536 : x
  2. Step 2: Convert to fraction form
    527,296/1,137,536 = 1,137,536/x
  3. Step 3: Cross multiply
    527,296x = 1,137,536 × 1,137,536
  4. Step 4: Simplify right side
    527,296x = 1,293,988,151,296
  5. Step 5: Solve for x
    x = 1,293,988,151,296/527,296
  6. Step 6: Final answer
    x = 2,454,007.14

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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.