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Finding the Third Proportional to 407,294 and 894,904

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Solution

The third proportional to 407,294 and 894,904 is: 1,966,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,294 : 894,904 = 894,904 : x
  2. Step 2: Convert to fraction form
    407,294/894,904 = 894,904/x
  3. Step 3: Cross multiply
    407,294x = 894,904 × 894,904
  4. Step 4: Simplify right side
    407,294x = 800,853,169,216
  5. Step 5: Solve for x
    x = 800,853,169,216/407,294
  6. Step 6: Final answer
    x = 1,966,277.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.