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Finding the Third Proportional to 523,285 and 1,130,215

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Solution

The third proportional to 523,285 and 1,130,215 is: 2,441,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,285 : 1,130,215 = 1,130,215 : x
  2. Step 2: Convert to fraction form
    523,285/1,130,215 = 1,130,215/x
  3. Step 3: Cross multiply
    523,285x = 1,130,215 × 1,130,215
  4. Step 4: Simplify right side
    523,285x = 1,277,385,946,225
  5. Step 5: Solve for x
    x = 1,277,385,946,225/523,285
  6. Step 6: Final answer
    x = 2,441,090.32

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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.