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Finding the Third Proportional to 779,999.63 and 1,198,384.88

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Solution

The third proportional to 779,999.63 and 1,198,384.88 is: 1,841,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,999.63 : 1,198,384.88 = 1,198,384.88 : x
  2. Step 2: Convert to fraction form
    779,999.63/1,198,384.88 = 1,198,384.88/x
  3. Step 3: Cross multiply
    779,999.63x = 1,198,384.88 × 1,198,384.88
  4. Step 4: Simplify right side
    779,999.63x = 1,436,126,308,628.77
  5. Step 5: Solve for x
    x = 1,436,126,308,628.77/779,999.63
  6. Step 6: Final answer
    x = 1,841,188.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.