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Finding the Third Proportional to 806,810.78 and 1,755,567.26

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Solution

The third proportional to 806,810.78 and 1,755,567.26 is: 3,819,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,810.78 : 1,755,567.26 = 1,755,567.26 : x
  2. Step 2: Convert to fraction form
    806,810.78/1,755,567.26 = 1,755,567.26/x
  3. Step 3: Cross multiply
    806,810.78x = 1,755,567.26 × 1,755,567.26
  4. Step 4: Simplify right side
    806,810.78x = 3,082,016,417,276.44
  5. Step 5: Solve for x
    x = 3,082,016,417,276.44/806,810.78
  6. Step 6: Final answer
    x = 3,819,999.04

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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.