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Finding the Third Proportional to 415,641.38 and 893,442.66

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Solution

The third proportional to 415,641.38 and 893,442.66 is: 1,920,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,641.38 : 893,442.66 = 893,442.66 : x
  2. Step 2: Convert to fraction form
    415,641.38/893,442.66 = 893,442.66/x
  3. Step 3: Cross multiply
    415,641.38x = 893,442.66 × 893,442.66
  4. Step 4: Simplify right side
    415,641.38x = 798,239,780,007.06
  5. Step 5: Solve for x
    x = 798,239,780,007.06/415,641.38
  6. Step 6: Final answer
    x = 1,920,501.25

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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.