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Finding the Third Proportional to 527,297 and 1,137,538

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Solution

The third proportional to 527,297 and 1,137,538 is: 2,454,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,297 : 1,137,538 = 1,137,538 : x
  2. Step 2: Convert to fraction form
    527,297/1,137,538 = 1,137,538/x
  3. Step 3: Cross multiply
    527,297x = 1,137,538 × 1,137,538
  4. Step 4: Simplify right side
    527,297x = 1,293,992,701,444
  5. Step 5: Solve for x
    x = 1,293,992,701,444/527,297
  6. Step 6: Final answer
    x = 2,454,011.12

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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.