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Finding the Third Proportional to 761,910 and 1,673,346

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Solution

The third proportional to 761,910 and 1,673,346 is: 3,675,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,910 : 1,673,346 = 1,673,346 : x
  2. Step 2: Convert to fraction form
    761,910/1,673,346 = 1,673,346/x
  3. Step 3: Cross multiply
    761,910x = 1,673,346 × 1,673,346
  4. Step 4: Simplify right side
    761,910x = 2,800,086,835,716
  5. Step 5: Solve for x
    x = 2,800,086,835,716/761,910
  6. Step 6: Final answer
    x = 3,675,088.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.