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Finding the Third Proportional to 1,047,252,891 and 1,561,797,682

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Solution

The third proportional to 1,047,252,891 and 1,561,797,682 is: 2,329,152,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,252,891 : 1,561,797,682 = 1,561,797,682 : x
  2. Step 2: Convert to fraction form
    1,047,252,891/1,561,797,682 = 1,561,797,682/x
  3. Step 3: Cross multiply
    1,047,252,891x = 1,561,797,682 × 1,561,797,682
  4. Step 4: Simplify right side
    1,047,252,891x = 2,439,211,999,500,573,184
  5. Step 5: Solve for x
    x = 2,439,211,999,500,573,184/1,047,252,891
  6. Step 6: Final answer
    x = 2,329,152,796.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.