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Finding the Third Proportional to 408,646,262 and 907,991,788

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Solution

The third proportional to 408,646,262 and 907,991,788 is: 2,017,512,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646,262 : 907,991,788 = 907,991,788 : x
  2. Step 2: Convert to fraction form
    408,646,262/907,991,788 = 907,991,788/x
  3. Step 3: Cross multiply
    408,646,262x = 907,991,788 × 907,991,788
  4. Step 4: Simplify right side
    408,646,262x = 824,449,087,075,436,928
  5. Step 5: Solve for x
    x = 824,449,087,075,436,928/408,646,262
  6. Step 6: Final answer
    x = 2,017,512,855.84

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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.