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Finding the Third Proportional to 523,700 and 1,149,352

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Solution

The third proportional to 523,700 and 1,149,352 is: 2,522,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,700 : 1,149,352 = 1,149,352 : x
  2. Step 2: Convert to fraction form
    523,700/1,149,352 = 1,149,352/x
  3. Step 3: Cross multiply
    523,700x = 1,149,352 × 1,149,352
  4. Step 4: Simplify right side
    523,700x = 1,321,010,019,904
  5. Step 5: Solve for x
    x = 1,321,010,019,904/523,700
  6. Step 6: Final answer
    x = 2,522,455.64

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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.