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Finding the Third Proportional to 923,989,940 and 1,409,257,605

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Solution

The third proportional to 923,989,940 and 1,409,257,605 is: 2,149,381,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,989,940 : 1,409,257,605 = 1,409,257,605 : x
  2. Step 2: Convert to fraction form
    923,989,940/1,409,257,605 = 1,409,257,605/x
  3. Step 3: Cross multiply
    923,989,940x = 1,409,257,605 × 1,409,257,605
  4. Step 4: Simplify right side
    923,989,940x = 1,986,006,997,250,336,000
  5. Step 5: Solve for x
    x = 1,986,006,997,250,336,000/923,989,940
  6. Step 6: Final answer
    x = 2,149,381,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.