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Finding the Third Proportional to 801,409,536 and 1,208,420,936

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Solution

The third proportional to 801,409,536 and 1,208,420,936 is: 1,822,140,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,409,536 : 1,208,420,936 = 1,208,420,936 : x
  2. Step 2: Convert to fraction form
    801,409,536/1,208,420,936 = 1,208,420,936/x
  3. Step 3: Cross multiply
    801,409,536x = 1,208,420,936 × 1,208,420,936
  4. Step 4: Simplify right side
    801,409,536x = 1,460,281,158,563,116,032
  5. Step 5: Solve for x
    x = 1,460,281,158,563,116,032/801,409,536
  6. Step 6: Final answer
    x = 1,822,140,981.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.