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Finding the Third Proportional to 450,102 and 960,492

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Solution

The third proportional to 450,102 and 960,492 is: 2,049,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,102 : 960,492 = 960,492 : x
  2. Step 2: Convert to fraction form
    450,102/960,492 = 960,492/x
  3. Step 3: Cross multiply
    450,102x = 960,492 × 960,492
  4. Step 4: Simplify right side
    450,102x = 922,544,882,064
  5. Step 5: Solve for x
    x = 922,544,882,064/450,102
  6. Step 6: Final answer
    x = 2,049,635.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.