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Finding the Third Proportional to 453,461 and 989,815.50

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Solution

The third proportional to 453,461 and 989,815.50 is: 2,160,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,461 : 989,815.50 = 989,815.50 : x
  2. Step 2: Convert to fraction form
    453,461/989,815.50 = 989,815.50/x
  3. Step 3: Cross multiply
    453,461x = 989,815.50 × 989,815.50
  4. Step 4: Simplify right side
    453,461x = 979,734,724,040.25
  5. Step 5: Solve for x
    x = 979,734,724,040.25/453,461
  6. Step 6: Final answer
    x = 2,160,571.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.