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Finding the Third Proportional to 453,414 and 989,920.50

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Solution

The third proportional to 453,414 and 989,920.50 is: 2,161,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,414 : 989,920.50 = 989,920.50 : x
  2. Step 2: Convert to fraction form
    453,414/989,920.50 = 989,920.50/x
  3. Step 3: Cross multiply
    453,414x = 989,920.50 × 989,920.50
  4. Step 4: Simplify right side
    453,414x = 979,942,596,320.25
  5. Step 5: Solve for x
    x = 979,942,596,320.25/453,414
  6. Step 6: Final answer
    x = 2,161,253.50

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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.