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Finding the Third Proportional to 595,999.27 and 1,287,486.14

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Solution

The third proportional to 595,999.27 and 1,287,486.14 is: 2,781,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,999.27 : 1,287,486.14 = 1,287,486.14 : x
  2. Step 2: Convert to fraction form
    595,999.27/1,287,486.14 = 1,287,486.14/x
  3. Step 3: Cross multiply
    595,999.27x = 1,287,486.14 × 1,287,486.14
  4. Step 4: Simplify right side
    595,999.27x = 1,657,620,562,301.46
  5. Step 5: Solve for x
    x = 1,657,620,562,301.46/595,999.27
  6. Step 6: Final answer
    x = 2,781,245.98

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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.