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Finding the Third Proportional to 407,594 and 893,839

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Solution

The third proportional to 407,594 and 893,839 is: 1,960,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,594 : 893,839 = 893,839 : x
  2. Step 2: Convert to fraction form
    407,594/893,839 = 893,839/x
  3. Step 3: Cross multiply
    407,594x = 893,839 × 893,839
  4. Step 4: Simplify right side
    407,594x = 798,948,157,921
  5. Step 5: Solve for x
    x = 798,948,157,921/407,594
  6. Step 6: Final answer
    x = 1,960,156.82

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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.