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Finding the Third Proportional to 528,085 and 1,245,392

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Solution

The third proportional to 528,085 and 1,245,392 is: 2,937,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,085 : 1,245,392 = 1,245,392 : x
  2. Step 2: Convert to fraction form
    528,085/1,245,392 = 1,245,392/x
  3. Step 3: Cross multiply
    528,085x = 1,245,392 × 1,245,392
  4. Step 4: Simplify right side
    528,085x = 1,551,001,233,664
  5. Step 5: Solve for x
    x = 1,551,001,233,664/528,085
  6. Step 6: Final answer
    x = 2,937,029.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.