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Finding the Third Proportional to 417,051,243 and 898,689,510

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Solution

The third proportional to 417,051,243 and 898,689,510 is: 1,936,555,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,051,243 : 898,689,510 = 898,689,510 : x
  2. Step 2: Convert to fraction form
    417,051,243/898,689,510 = 898,689,510/x
  3. Step 3: Cross multiply
    417,051,243x = 898,689,510 × 898,689,510
  4. Step 4: Simplify right side
    417,051,243x = 807,642,835,384,040,064
  5. Step 5: Solve for x
    x = 807,642,835,384,040,064/417,051,243
  6. Step 6: Final answer
    x = 1,936,555,396.82

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