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Finding the Third Proportional to 415,674 and 893,510

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Solution

The third proportional to 415,674 and 893,510 is: 1,920,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,674 : 893,510 = 893,510 : x
  2. Step 2: Convert to fraction form
    415,674/893,510 = 893,510/x
  3. Step 3: Cross multiply
    415,674x = 893,510 × 893,510
  4. Step 4: Simplify right side
    415,674x = 798,360,120,100
  5. Step 5: Solve for x
    x = 798,360,120,100/415,674
  6. Step 6: Final answer
    x = 1,920,640.02

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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.