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Finding the Third Proportional to 408,646,224 and 907,991,712

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Solution

The third proportional to 408,646,224 and 907,991,712 is: 2,017,512,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646,224 : 907,991,712 = 907,991,712 : x
  2. Step 2: Convert to fraction form
    408,646,224/907,991,712 = 907,991,712/x
  3. Step 3: Cross multiply
    408,646,224x = 907,991,712 × 907,991,712
  4. Step 4: Simplify right side
    408,646,224x = 824,448,949,060,690,944
  5. Step 5: Solve for x
    x = 824,448,949,060,690,944/408,646,224
  6. Step 6: Final answer
    x = 2,017,512,705.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.