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Finding the Third Proportional to 523,288 and 1,130,221

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Solution

The third proportional to 523,288 and 1,130,221 is: 2,441,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,288 : 1,130,221 = 1,130,221 : x
  2. Step 2: Convert to fraction form
    523,288/1,130,221 = 1,130,221/x
  3. Step 3: Cross multiply
    523,288x = 1,130,221 × 1,130,221
  4. Step 4: Simplify right side
    523,288x = 1,277,399,508,841
  5. Step 5: Solve for x
    x = 1,277,399,508,841/523,288
  6. Step 6: Final answer
    x = 2,441,102.24

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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.