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Finding the Third Proportional to 677,234,477 and 1,036,092,923

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Solution

The third proportional to 677,234,477 and 1,036,092,923 is: 1,585,106,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,234,477 : 1,036,092,923 = 1,036,092,923 : x
  2. Step 2: Convert to fraction form
    677,234,477/1,036,092,923 = 1,036,092,923/x
  3. Step 3: Cross multiply
    677,234,477x = 1,036,092,923 × 1,036,092,923
  4. Step 4: Simplify right side
    677,234,477x = 1,073,488,545,090,683,904
  5. Step 5: Solve for x
    x = 1,073,488,545,090,683,904/677,234,477
  6. Step 6: Final answer
    x = 1,585,106,165.66

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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.