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Finding the Third Proportional to 504,900 and 1,088,532

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Solution

The third proportional to 504,900 and 1,088,532 is: 2,346,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,900 : 1,088,532 = 1,088,532 : x
  2. Step 2: Convert to fraction form
    504,900/1,088,532 = 1,088,532/x
  3. Step 3: Cross multiply
    504,900x = 1,088,532 × 1,088,532
  4. Step 4: Simplify right side
    504,900x = 1,184,901,915,024
  5. Step 5: Solve for x
    x = 1,184,901,915,024/504,900
  6. Step 6: Final answer
    x = 2,346,805.14

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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.