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Finding the Third Proportional to 502,597 and 1,083,923

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Solution

The third proportional to 502,597 and 1,083,923 is: 2,337,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,597 : 1,083,923 = 1,083,923 : x
  2. Step 2: Convert to fraction form
    502,597/1,083,923 = 1,083,923/x
  3. Step 3: Cross multiply
    502,597x = 1,083,923 × 1,083,923
  4. Step 4: Simplify right side
    502,597x = 1,174,889,069,929
  5. Step 5: Solve for x
    x = 1,174,889,069,929/502,597
  6. Step 6: Final answer
    x = 2,337,636.46

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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.