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Finding the Third Proportional to 526,530 and 1,137,117

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Solution

The third proportional to 526,530 and 1,137,117 is: 2,455,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,530 : 1,137,117 = 1,137,117 : x
  2. Step 2: Convert to fraction form
    526,530/1,137,117 = 1,137,117/x
  3. Step 3: Cross multiply
    526,530x = 1,137,117 × 1,137,117
  4. Step 4: Simplify right side
    526,530x = 1,293,035,071,689
  5. Step 5: Solve for x
    x = 1,293,035,071,689/526,530
  6. Step 6: Final answer
    x = 2,455,767.14

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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.