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Finding the Third Proportional to 802,311 and 1,748,514

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Solution

The third proportional to 802,311 and 1,748,514 is: 3,810,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,311 : 1,748,514 = 1,748,514 : x
  2. Step 2: Convert to fraction form
    802,311/1,748,514 = 1,748,514/x
  3. Step 3: Cross multiply
    802,311x = 1,748,514 × 1,748,514
  4. Step 4: Simplify right side
    802,311x = 3,057,301,208,196
  5. Step 5: Solve for x
    x = 3,057,301,208,196/802,311
  6. Step 6: Final answer
    x = 3,810,618.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.