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Finding the Third Proportional to 502,617 and 1,083,963

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Solution

The third proportional to 502,617 and 1,083,963 is: 2,337,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,617 : 1,083,963 = 1,083,963 : x
  2. Step 2: Convert to fraction form
    502,617/1,083,963 = 1,083,963/x
  3. Step 3: Cross multiply
    502,617x = 1,083,963 × 1,083,963
  4. Step 4: Simplify right side
    502,617x = 1,174,975,785,369
  5. Step 5: Solve for x
    x = 1,174,975,785,369/502,617
  6. Step 6: Final answer
    x = 2,337,715.97

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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.