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Finding the Third Proportional to 417,051,260 and 898,689,544

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Solution

The third proportional to 417,051,260 and 898,689,544 is: 1,936,555,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,051,260 : 898,689,544 = 898,689,544 : x
  2. Step 2: Convert to fraction form
    417,051,260/898,689,544 = 898,689,544/x
  3. Step 3: Cross multiply
    417,051,260x = 898,689,544 × 898,689,544
  4. Step 4: Simplify right side
    417,051,260x = 807,642,896,494,927,872
  5. Step 5: Solve for x
    x = 807,642,896,494,927,872/417,051,260
  6. Step 6: Final answer
    x = 1,936,555,464.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.