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Finding the Third Proportional to 453,459.94 and 989,813.25

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Solution

The third proportional to 453,459.94 and 989,813.25 is: 2,160,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,459.94 : 989,813.25 = 989,813.25 : x
  2. Step 2: Convert to fraction form
    453,459.94/989,813.25 = 989,813.25/x
  3. Step 3: Cross multiply
    453,459.94x = 989,813.25 × 989,813.25
  4. Step 4: Simplify right side
    453,459.94x = 979,730,269,875.56
  5. Step 5: Solve for x
    x = 979,730,269,875.56/453,459.94
  6. Step 6: Final answer
    x = 2,160,566.32

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Why These Related Problems?

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