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Finding the Third Proportional to 523,284 and 1,130,213

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Solution

The third proportional to 523,284 and 1,130,213 is: 2,441,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,284 : 1,130,213 = 1,130,213 : x
  2. Step 2: Convert to fraction form
    523,284/1,130,213 = 1,130,213/x
  3. Step 3: Cross multiply
    523,284x = 1,130,213 × 1,130,213
  4. Step 4: Simplify right side
    523,284x = 1,277,381,425,369
  5. Step 5: Solve for x
    x = 1,277,381,425,369/523,284
  6. Step 6: Final answer
    x = 2,441,086.34

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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.