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Finding the Third Proportional to 413,588 and 893,200

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Solution

The third proportional to 413,588 and 893,200 is: 1,928,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,588 : 893,200 = 893,200 : x
  2. Step 2: Convert to fraction form
    413,588/893,200 = 893,200/x
  3. Step 3: Cross multiply
    413,588x = 893,200 × 893,200
  4. Step 4: Simplify right side
    413,588x = 797,806,240,000
  5. Step 5: Solve for x
    x = 797,806,240,000/413,588
  6. Step 6: Final answer
    x = 1,928,987.88

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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.