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Finding the Third Proportional to 492,851 and 1,059,313

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Solution

The third proportional to 492,851 and 1,059,313 is: 2,276,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,851 : 1,059,313 = 1,059,313 : x
  2. Step 2: Convert to fraction form
    492,851/1,059,313 = 1,059,313/x
  3. Step 3: Cross multiply
    492,851x = 1,059,313 × 1,059,313
  4. Step 4: Simplify right side
    492,851x = 1,122,144,031,969
  5. Step 5: Solve for x
    x = 1,122,144,031,969/492,851
  6. Step 6: Final answer
    x = 2,276,842.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.