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Finding the Third Proportional to 450,644 and 965,252

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Solution

The third proportional to 450,644 and 965,252 is: 2,067,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,644 : 965,252 = 965,252 : x
  2. Step 2: Convert to fraction form
    450,644/965,252 = 965,252/x
  3. Step 3: Cross multiply
    450,644x = 965,252 × 965,252
  4. Step 4: Simplify right side
    450,644x = 931,711,423,504
  5. Step 5: Solve for x
    x = 931,711,423,504/450,644
  6. Step 6: Final answer
    x = 2,067,510.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.