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Finding the Third Proportional to 523,287 and 1,130,220

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Solution

The third proportional to 523,287 and 1,130,220 is: 2,441,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,287 : 1,130,220 = 1,130,220 : x
  2. Step 2: Convert to fraction form
    523,287/1,130,220 = 1,130,220/x
  3. Step 3: Cross multiply
    523,287x = 1,130,220 × 1,130,220
  4. Step 4: Simplify right side
    523,287x = 1,277,397,248,400
  5. Step 5: Solve for x
    x = 1,277,397,248,400/523,287
  6. Step 6: Final answer
    x = 2,441,102.59

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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.