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Finding the Third Proportional to 417,933,524 and 975,943,152

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Solution

The third proportional to 417,933,524 and 975,943,152 is: 2,278,986,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,933,524 : 975,943,152 = 975,943,152 : x
  2. Step 2: Convert to fraction form
    417,933,524/975,943,152 = 975,943,152/x
  3. Step 3: Cross multiply
    417,933,524x = 975,943,152 × 975,943,152
  4. Step 4: Simplify right side
    417,933,524x = 952,465,035,935,695,104
  5. Step 5: Solve for x
    x = 952,465,035,935,695,104/417,933,524
  6. Step 6: Final answer
    x = 2,278,986,923.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.