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Finding the Third Proportional to 963,584 and 2,035,696

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Solution

The third proportional to 963,584 and 2,035,696 is: 4,300,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,584 : 2,035,696 = 2,035,696 : x
  2. Step 2: Convert to fraction form
    963,584/2,035,696 = 2,035,696/x
  3. Step 3: Cross multiply
    963,584x = 2,035,696 × 2,035,696
  4. Step 4: Simplify right side
    963,584x = 4,144,058,204,416
  5. Step 5: Solve for x
    x = 4,144,058,204,416/963,584
  6. Step 6: Final answer
    x = 4,300,671.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.