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Finding the Third Proportional to 504,928 and 1,088,584

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Solution

The third proportional to 504,928 and 1,088,584 is: 2,346,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,928 : 1,088,584 = 1,088,584 : x
  2. Step 2: Convert to fraction form
    504,928/1,088,584 = 1,088,584/x
  3. Step 3: Cross multiply
    504,928x = 1,088,584 × 1,088,584
  4. Step 4: Simplify right side
    504,928x = 1,185,015,125,056
  5. Step 5: Solve for x
    x = 1,185,015,125,056/504,928
  6. Step 6: Final answer
    x = 2,346,899.21

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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.