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Finding the Third Proportional to 407,865 and 894,522

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Solution

The third proportional to 407,865 and 894,522 is: 1,961,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,865 : 894,522 = 894,522 : x
  2. Step 2: Convert to fraction form
    407,865/894,522 = 894,522/x
  3. Step 3: Cross multiply
    407,865x = 894,522 × 894,522
  4. Step 4: Simplify right side
    407,865x = 800,169,608,484
  5. Step 5: Solve for x
    x = 800,169,608,484/407,865
  6. Step 6: Final answer
    x = 1,961,849.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.