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Finding the Third Proportional to 613,973,740 and 944,674,494

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Solution

The third proportional to 613,973,740 and 944,674,494 is: 1,453,498,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,973,740 : 944,674,494 = 944,674,494 : x
  2. Step 2: Convert to fraction form
    613,973,740/944,674,494 = 944,674,494/x
  3. Step 3: Cross multiply
    613,973,740x = 944,674,494 × 944,674,494
  4. Step 4: Simplify right side
    613,973,740x = 892,409,899,614,156,032
  5. Step 5: Solve for x
    x = 892,409,899,614,156,032/613,973,740
  6. Step 6: Final answer
    x = 1,453,498,482.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.