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Finding the Third Proportional to 750,459 and 1,123,636.50

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Solution

The third proportional to 750,459 and 1,123,636.50 is: 1,682,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,459 : 1,123,636.50 = 1,123,636.50 : x
  2. Step 2: Convert to fraction form
    750,459/1,123,636.50 = 1,123,636.50/x
  3. Step 3: Cross multiply
    750,459x = 1,123,636.50 × 1,123,636.50
  4. Step 4: Simplify right side
    750,459x = 1,262,558,984,132.25
  5. Step 5: Solve for x
    x = 1,262,558,984,132.25/750,459
  6. Step 6: Final answer
    x = 1,682,382.36

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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.