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Finding the Third Proportional to 413,586 and 893,196

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Solution

The third proportional to 413,586 and 893,196 is: 1,928,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,586 : 893,196 = 893,196 : x
  2. Step 2: Convert to fraction form
    413,586/893,196 = 893,196/x
  3. Step 3: Cross multiply
    413,586x = 893,196 × 893,196
  4. Step 4: Simplify right side
    413,586x = 797,799,094,416
  5. Step 5: Solve for x
    x = 797,799,094,416/413,586
  6. Step 6: Final answer
    x = 1,928,979.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.