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Finding the Third Proportional to 457,158,821 and 1,001,656,648

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Solution

The third proportional to 457,158,821 and 1,001,656,648 is: 2,194,677,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,158,821 : 1,001,656,648 = 1,001,656,648 : x
  2. Step 2: Convert to fraction form
    457,158,821/1,001,656,648 = 1,001,656,648/x
  3. Step 3: Cross multiply
    457,158,821x = 1,001,656,648 × 1,001,656,648
  4. Step 4: Simplify right side
    457,158,821x = 1,003,316,040,482,595,840
  5. Step 5: Solve for x
    x = 1,003,316,040,482,595,840/457,158,821
  6. Step 6: Final answer
    x = 2,194,677,198.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.