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Finding the Third Proportional to 1,170,266,568 and 1,716,604,120

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Solution

The third proportional to 1,170,266,568 and 1,716,604,120 is: 2,517,998,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,266,568 : 1,716,604,120 = 1,716,604,120 : x
  2. Step 2: Convert to fraction form
    1,170,266,568/1,716,604,120 = 1,716,604,120/x
  3. Step 3: Cross multiply
    1,170,266,568x = 1,716,604,120 × 1,716,604,120
  4. Step 4: Simplify right side
    1,170,266,568x = 2,946,729,704,800,974,336
  5. Step 5: Solve for x
    x = 2,946,729,704,800,974,336/1,170,266,568
  6. Step 6: Final answer
    x = 2,517,998,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.