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Finding the Third Proportional to 740,322,038 and 1,608,084,939

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Solution

The third proportional to 740,322,038 and 1,608,084,939 is: 3,492,989,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,322,038 : 1,608,084,939 = 1,608,084,939 : x
  2. Step 2: Convert to fraction form
    740,322,038/1,608,084,939 = 1,608,084,939/x
  3. Step 3: Cross multiply
    740,322,038x = 1,608,084,939 × 1,608,084,939
  4. Step 4: Simplify right side
    740,322,038x = 2,585,937,171,038,633,472
  5. Step 5: Solve for x
    x = 2,585,937,171,038,633,472/740,322,038
  6. Step 6: Final answer
    x = 3,492,989,588.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.