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Finding the Third Proportional to 423,380 and 915,016

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Solution

The third proportional to 423,380 and 915,016 is: 1,977,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,380 : 915,016 = 915,016 : x
  2. Step 2: Convert to fraction form
    423,380/915,016 = 915,016/x
  3. Step 3: Cross multiply
    423,380x = 915,016 × 915,016
  4. Step 4: Simplify right side
    423,380x = 837,254,280,256
  5. Step 5: Solve for x
    x = 837,254,280,256/423,380
  6. Step 6: Final answer
    x = 1,977,548.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.