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Finding the Third Proportional to 771,999.75 and 1,701,058.50

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Solution

The third proportional to 771,999.75 and 1,701,058.50 is: 3,748,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,999.75 : 1,701,058.50 = 1,701,058.50 : x
  2. Step 2: Convert to fraction form
    771,999.75/1,701,058.50 = 1,701,058.50/x
  3. Step 3: Cross multiply
    771,999.75x = 1,701,058.50 × 1,701,058.50
  4. Step 4: Simplify right side
    771,999.75x = 2,893,600,020,422.25
  5. Step 5: Solve for x
    x = 2,893,600,020,422.25/771,999.75
  6. Step 6: Final answer
    x = 3,748,187.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.