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Finding the Third Proportional to 415,503.38 and 893,069.63

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Solution

The third proportional to 415,503.38 and 893,069.63 is: 1,919,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,503.38 : 893,069.63 = 893,069.63 : x
  2. Step 2: Convert to fraction form
    415,503.38/893,069.63 = 893,069.63/x
  3. Step 3: Cross multiply
    415,503.38x = 893,069.63 × 893,069.63
  4. Step 4: Simplify right side
    415,503.38x = 797,573,355,097.64
  5. Step 5: Solve for x
    x = 797,573,355,097.64/415,503.38
  6. Step 6: Final answer
    x = 1,919,535.20

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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.