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Finding the Third Proportional to 508,738 and 1,059,346

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Solution

The third proportional to 508,738 and 1,059,346 is: 2,205,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,738 : 1,059,346 = 1,059,346 : x
  2. Step 2: Convert to fraction form
    508,738/1,059,346 = 1,059,346/x
  3. Step 3: Cross multiply
    508,738x = 1,059,346 × 1,059,346
  4. Step 4: Simplify right side
    508,738x = 1,122,213,947,716
  5. Step 5: Solve for x
    x = 1,122,213,947,716/508,738
  6. Step 6: Final answer
    x = 2,205,877.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.