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Finding the Third Proportional to 415,310 and 893,798

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Solution

The third proportional to 415,310 and 893,798 is: 1,923,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,310 : 893,798 = 893,798 : x
  2. Step 2: Convert to fraction form
    415,310/893,798 = 893,798/x
  3. Step 3: Cross multiply
    415,310x = 893,798 × 893,798
  4. Step 4: Simplify right side
    415,310x = 798,874,864,804
  5. Step 5: Solve for x
    x = 798,874,864,804/415,310
  6. Step 6: Final answer
    x = 1,923,562.80

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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.