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Finding the Third Proportional to 812,683 and 1,216,081.50

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Solution

The third proportional to 812,683 and 1,216,081.50 is: 1,819,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,683 : 1,216,081.50 = 1,216,081.50 : x
  2. Step 2: Convert to fraction form
    812,683/1,216,081.50 = 1,216,081.50/x
  3. Step 3: Cross multiply
    812,683x = 1,216,081.50 × 1,216,081.50
  4. Step 4: Simplify right side
    812,683x = 1,478,854,214,642.25
  5. Step 5: Solve for x
    x = 1,478,854,214,642.25/812,683
  6. Step 6: Final answer
    x = 1,819,718.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.