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Finding the Third Proportional to 923,989,938 and 1,409,257,602

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Solution

The third proportional to 923,989,938 and 1,409,257,602 is: 2,149,381,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,989,938 : 1,409,257,602 = 1,409,257,602 : x
  2. Step 2: Convert to fraction form
    923,989,938/1,409,257,602 = 1,409,257,602/x
  3. Step 3: Cross multiply
    923,989,938x = 1,409,257,602 × 1,409,257,602
  4. Step 4: Simplify right side
    923,989,938x = 1,986,006,988,794,790,400
  5. Step 5: Solve for x
    x = 1,986,006,988,794,790,400/923,989,938
  6. Step 6: Final answer
    x = 2,149,381,618.91

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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.