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Finding the Third Proportional to 415,502 and 893,068

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Solution

The third proportional to 415,502 and 893,068 is: 1,919,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,502 : 893,068 = 893,068 : x
  2. Step 2: Convert to fraction form
    415,502/893,068 = 893,068/x
  3. Step 3: Cross multiply
    415,502x = 893,068 × 893,068
  4. Step 4: Simplify right side
    415,502x = 797,570,452,624
  5. Step 5: Solve for x
    x = 797,570,452,624/415,502
  6. Step 6: Final answer
    x = 1,919,534.57

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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.