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Finding the Third Proportional to 415,666 and 893,491

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Solution

The third proportional to 415,666 and 893,491 is: 1,920,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,666 : 893,491 = 893,491 : x
  2. Step 2: Convert to fraction form
    415,666/893,491 = 893,491/x
  3. Step 3: Cross multiply
    415,666x = 893,491 × 893,491
  4. Step 4: Simplify right side
    415,666x = 798,326,167,081
  5. Step 5: Solve for x
    x = 798,326,167,081/415,666
  6. Step 6: Final answer
    x = 1,920,595.30

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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.