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Finding the Third Proportional to 788,404 and 1,213,494

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Solution

The third proportional to 788,404 and 1,213,494 is: 1,867,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,404 : 1,213,494 = 1,213,494 : x
  2. Step 2: Convert to fraction form
    788,404/1,213,494 = 1,213,494/x
  3. Step 3: Cross multiply
    788,404x = 1,213,494 × 1,213,494
  4. Step 4: Simplify right side
    788,404x = 1,472,567,688,036
  5. Step 5: Solve for x
    x = 1,472,567,688,036/788,404
  6. Step 6: Final answer
    x = 1,867,783.13

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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.