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Finding the Third Proportional to 527,300 and 1,137,544

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Solution

The third proportional to 527,300 and 1,137,544 is: 2,454,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,300 : 1,137,544 = 1,137,544 : x
  2. Step 2: Convert to fraction form
    527,300/1,137,544 = 1,137,544/x
  3. Step 3: Cross multiply
    527,300x = 1,137,544 × 1,137,544
  4. Step 4: Simplify right side
    527,300x = 1,294,006,351,936
  5. Step 5: Solve for x
    x = 1,294,006,351,936/527,300
  6. Step 6: Final answer
    x = 2,454,023.05

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