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Finding the Third Proportional to 404,344,770 and 621,117,894

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Solution

The third proportional to 404,344,770 and 621,117,894 is: 954,105,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,344,770 : 621,117,894 = 621,117,894 : x
  2. Step 2: Convert to fraction form
    404,344,770/621,117,894 = 621,117,894/x
  3. Step 3: Cross multiply
    404,344,770x = 621,117,894 × 621,117,894
  4. Step 4: Simplify right side
    404,344,770x = 385,787,438,246,995,264
  5. Step 5: Solve for x
    x = 385,787,438,246,995,264/404,344,770
  6. Step 6: Final answer
    x = 954,105,176.75

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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.