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Finding the Third Proportional to 415,643 and 893,447

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Solution

The third proportional to 415,643 and 893,447 is: 1,920,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,643 : 893,447 = 893,447 : x
  2. Step 2: Convert to fraction form
    415,643/893,447 = 893,447/x
  3. Step 3: Cross multiply
    415,643x = 893,447 × 893,447
  4. Step 4: Simplify right side
    415,643x = 798,247,541,809
  5. Step 5: Solve for x
    x = 798,247,541,809/415,643
  6. Step 6: Final answer
    x = 1,920,512.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.