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Finding the Third Proportional to 749,250 and 1,605,690

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Solution

The third proportional to 749,250 and 1,605,690 is: 3,441,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,250 : 1,605,690 = 1,605,690 : x
  2. Step 2: Convert to fraction form
    749,250/1,605,690 = 1,605,690/x
  3. Step 3: Cross multiply
    749,250x = 1,605,690 × 1,605,690
  4. Step 4: Simplify right side
    749,250x = 2,578,240,376,100
  5. Step 5: Solve for x
    x = 2,578,240,376,100/749,250
  6. Step 6: Final answer
    x = 3,441,094.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.