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Finding the Third Proportional to 590,818 and 893,267

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Solution

The third proportional to 590,818 and 893,267 is: 1,350,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,818 : 893,267 = 893,267 : x
  2. Step 2: Convert to fraction form
    590,818/893,267 = 893,267/x
  3. Step 3: Cross multiply
    590,818x = 893,267 × 893,267
  4. Step 4: Simplify right side
    590,818x = 797,925,933,289
  5. Step 5: Solve for x
    x = 797,925,933,289/590,818
  6. Step 6: Final answer
    x = 1,350,544.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.