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Finding the Third Proportional to 526,184 and 1,157,344

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Solution

The third proportional to 526,184 and 1,157,344 is: 2,545,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,184 : 1,157,344 = 1,157,344 : x
  2. Step 2: Convert to fraction form
    526,184/1,157,344 = 1,157,344/x
  3. Step 3: Cross multiply
    526,184x = 1,157,344 × 1,157,344
  4. Step 4: Simplify right side
    526,184x = 1,339,445,134,336
  5. Step 5: Solve for x
    x = 1,339,445,134,336/526,184
  6. Step 6: Final answer
    x = 2,545,583.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.