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Finding the Third Proportional to 524,798 and 1,086,940

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Solution

The third proportional to 524,798 and 1,086,940 is: 2,251,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,798 : 1,086,940 = 1,086,940 : x
  2. Step 2: Convert to fraction form
    524,798/1,086,940 = 1,086,940/x
  3. Step 3: Cross multiply
    524,798x = 1,086,940 × 1,086,940
  4. Step 4: Simplify right side
    524,798x = 1,181,438,563,600
  5. Step 5: Solve for x
    x = 1,181,438,563,600/524,798
  6. Step 6: Final answer
    x = 2,251,225.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.