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Finding the Third Proportional to 442,646 and 960,352

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Solution

The third proportional to 442,646 and 960,352 is: 2,083,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,646 : 960,352 = 960,352 : x
  2. Step 2: Convert to fraction form
    442,646/960,352 = 960,352/x
  3. Step 3: Cross multiply
    442,646x = 960,352 × 960,352
  4. Step 4: Simplify right side
    442,646x = 922,275,963,904
  5. Step 5: Solve for x
    x = 922,275,963,904/442,646
  6. Step 6: Final answer
    x = 2,083,552.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.