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Finding the Third Proportional to 777,196 and 1,235,810

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Solution

The third proportional to 777,196 and 1,235,810 is: 1,965,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,196 : 1,235,810 = 1,235,810 : x
  2. Step 2: Convert to fraction form
    777,196/1,235,810 = 1,235,810/x
  3. Step 3: Cross multiply
    777,196x = 1,235,810 × 1,235,810
  4. Step 4: Simplify right side
    777,196x = 1,527,226,356,100
  5. Step 5: Solve for x
    x = 1,527,226,356,100/777,196
  6. Step 6: Final answer
    x = 1,965,046.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.