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Finding the Third Proportional to 415,648.97 and 893,457.84

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Solution

The third proportional to 415,648.97 and 893,457.84 is: 1,920,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,648.97 : 893,457.84 = 893,457.84 : x
  2. Step 2: Convert to fraction form
    415,648.97/893,457.84 = 893,457.84/x
  3. Step 3: Cross multiply
    415,648.97x = 893,457.84 × 893,457.84
  4. Step 4: Simplify right side
    415,648.97x = 798,266,918,558.40
  5. Step 5: Solve for x
    x = 798,266,918,558.40/415,648.97
  6. Step 6: Final answer
    x = 1,920,531.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.