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Finding the Third Proportional to 456,024 and 989,923.50

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Solution

The third proportional to 456,024 and 989,923.50 is: 2,148,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,024 : 989,923.50 = 989,923.50 : x
  2. Step 2: Convert to fraction form
    456,024/989,923.50 = 989,923.50/x
  3. Step 3: Cross multiply
    456,024x = 989,923.50 × 989,923.50
  4. Step 4: Simplify right side
    456,024x = 979,948,535,852.25
  5. Step 5: Solve for x
    x = 979,948,535,852.25/456,024
  6. Step 6: Final answer
    x = 2,148,896.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.