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Finding the Third Proportional to 945,504 and 1,970,784

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Solution

The third proportional to 945,504 and 1,970,784 is: 4,107,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,504 : 1,970,784 = 1,970,784 : x
  2. Step 2: Convert to fraction form
    945,504/1,970,784 = 1,970,784/x
  3. Step 3: Cross multiply
    945,504x = 1,970,784 × 1,970,784
  4. Step 4: Simplify right side
    945,504x = 3,883,989,574,656
  5. Step 5: Solve for x
    x = 3,883,989,574,656/945,504
  6. Step 6: Final answer
    x = 4,107,851.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.