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Finding the Third Proportional to 779,042 and 1,196,704

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Solution

The third proportional to 779,042 and 1,196,704 is: 1,838,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,042 : 1,196,704 = 1,196,704 : x
  2. Step 2: Convert to fraction form
    779,042/1,196,704 = 1,196,704/x
  3. Step 3: Cross multiply
    779,042x = 1,196,704 × 1,196,704
  4. Step 4: Simplify right side
    779,042x = 1,432,100,463,616
  5. Step 5: Solve for x
    x = 1,432,100,463,616/779,042
  6. Step 6: Final answer
    x = 1,838,284.03

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