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Finding the Third Proportional to 444,699 and 972,436.50

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Solution

The third proportional to 444,699 and 972,436.50 is: 2,126,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,699 : 972,436.50 = 972,436.50 : x
  2. Step 2: Convert to fraction form
    444,699/972,436.50 = 972,436.50/x
  3. Step 3: Cross multiply
    444,699x = 972,436.50 × 972,436.50
  4. Step 4: Simplify right side
    444,699x = 945,632,746,532.25
  5. Step 5: Solve for x
    x = 945,632,746,532.25/444,699
  6. Step 6: Final answer
    x = 2,126,455.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.