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Finding the Third Proportional to 910,494 and 1,968,601.50

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Solution

The third proportional to 910,494 and 1,968,601.50 is: 4,256,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,494 : 1,968,601.50 = 1,968,601.50 : x
  2. Step 2: Convert to fraction form
    910,494/1,968,601.50 = 1,968,601.50/x
  3. Step 3: Cross multiply
    910,494x = 1,968,601.50 × 1,968,601.50
  4. Step 4: Simplify right side
    910,494x = 3,875,391,865,802.25
  5. Step 5: Solve for x
    x = 3,875,391,865,802.25/910,494
  6. Step 6: Final answer
    x = 4,256,361.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.