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Finding the Third Proportional to 526,288 and 1,107,592

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Solution

The third proportional to 526,288 and 1,107,592 is: 2,330,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,288 : 1,107,592 = 1,107,592 : x
  2. Step 2: Convert to fraction form
    526,288/1,107,592 = 1,107,592/x
  3. Step 3: Cross multiply
    526,288x = 1,107,592 × 1,107,592
  4. Step 4: Simplify right side
    526,288x = 1,226,760,038,464
  5. Step 5: Solve for x
    x = 1,226,760,038,464/526,288
  6. Step 6: Final answer
    x = 2,330,967.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.