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Finding the Third Proportional to 407,564 and 893,861

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Solution

The third proportional to 407,564 and 893,861 is: 1,960,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,564 : 893,861 = 893,861 : x
  2. Step 2: Convert to fraction form
    407,564/893,861 = 893,861/x
  3. Step 3: Cross multiply
    407,564x = 893,861 × 893,861
  4. Step 4: Simplify right side
    407,564x = 798,987,487,321
  5. Step 5: Solve for x
    x = 798,987,487,321/407,564
  6. Step 6: Final answer
    x = 1,960,397.60

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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.