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Finding the Third Proportional to 417,051,262 and 898,689,548

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Solution

The third proportional to 417,051,262 and 898,689,548 is: 1,936,555,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,051,262 : 898,689,548 = 898,689,548 : x
  2. Step 2: Convert to fraction form
    417,051,262/898,689,548 = 898,689,548/x
  3. Step 3: Cross multiply
    417,051,262x = 898,689,548 × 898,689,548
  4. Step 4: Simplify right side
    417,051,262x = 807,642,903,684,444,288
  5. Step 5: Solve for x
    x = 807,642,903,684,444,288/417,051,262
  6. Step 6: Final answer
    x = 1,936,555,472.37

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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.