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Finding the Third Proportional to 962,083 and 2,088,109

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Solution

The third proportional to 962,083 and 2,088,109 is: 4,532,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,083 : 2,088,109 = 2,088,109 : x
  2. Step 2: Convert to fraction form
    962,083/2,088,109 = 2,088,109/x
  3. Step 3: Cross multiply
    962,083x = 2,088,109 × 2,088,109
  4. Step 4: Simplify right side
    962,083x = 4,360,199,195,881
  5. Step 5: Solve for x
    x = 4,360,199,195,881/962,083
  6. Step 6: Final answer
    x = 4,532,040.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.