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Finding the Third Proportional to 408,872 and 893,776

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Solution

The third proportional to 408,872 and 893,776 is: 1,953,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872 : 893,776 = 893,776 : x
  2. Step 2: Convert to fraction form
    408,872/893,776 = 893,776/x
  3. Step 3: Cross multiply
    408,872x = 893,776 × 893,776
  4. Step 4: Simplify right side
    408,872x = 798,835,538,176
  5. Step 5: Solve for x
    x = 798,835,538,176/408,872
  6. Step 6: Final answer
    x = 1,953,754.57

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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.