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Finding the Third Proportional to 1,055,559,172 and 1,431,961,682

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Solution

The third proportional to 1,055,559,172 and 1,431,961,682 is: 1,942,585,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,559,172 : 1,431,961,682 = 1,431,961,682 : x
  2. Step 2: Convert to fraction form
    1,055,559,172/1,431,961,682 = 1,431,961,682/x
  3. Step 3: Cross multiply
    1,055,559,172x = 1,431,961,682 × 1,431,961,682
  4. Step 4: Simplify right side
    1,055,559,172x = 2,050,514,258,716,269,056
  5. Step 5: Solve for x
    x = 2,050,514,258,716,269,056/1,055,559,172
  6. Step 6: Final answer
    x = 1,942,585,800.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.