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Finding the Third Proportional to 450,045 and 960,354

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Solution

The third proportional to 450,045 and 960,354 is: 2,049,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,045 : 960,354 = 960,354 : x
  2. Step 2: Convert to fraction form
    450,045/960,354 = 960,354/x
  3. Step 3: Cross multiply
    450,045x = 960,354 × 960,354
  4. Step 4: Simplify right side
    450,045x = 922,279,805,316
  5. Step 5: Solve for x
    x = 922,279,805,316/450,045
  6. Step 6: Final answer
    x = 2,049,305.75

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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.