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Finding the Third Proportional to 360,198,234 and 785,434,923

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Solution

The third proportional to 360,198,234 and 785,434,923 is: 1,712,690,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198,234 : 785,434,923 = 785,434,923 : x
  2. Step 2: Convert to fraction form
    360,198,234/785,434,923 = 785,434,923/x
  3. Step 3: Cross multiply
    360,198,234x = 785,434,923 × 785,434,923
  4. Step 4: Simplify right side
    360,198,234x = 616,908,018,268,015,872
  5. Step 5: Solve for x
    x = 616,908,018,268,015,872/360,198,234
  6. Step 6: Final answer
    x = 1,712,690,291.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.