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Finding the Third Proportional to 526,095 and 1,150,605

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Solution

The third proportional to 526,095 and 1,150,605 is: 2,516,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,095 : 1,150,605 = 1,150,605 : x
  2. Step 2: Convert to fraction form
    526,095/1,150,605 = 1,150,605/x
  3. Step 3: Cross multiply
    526,095x = 1,150,605 × 1,150,605
  4. Step 4: Simplify right side
    526,095x = 1,323,891,866,025
  5. Step 5: Solve for x
    x = 1,323,891,866,025/526,095
  6. Step 6: Final answer
    x = 2,516,450.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.