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Finding the Third Proportional to 414,075,987 and 886,318,950

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Solution

The third proportional to 414,075,987 and 886,318,950 is: 1,897,142,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,075,987 : 886,318,950 = 886,318,950 : x
  2. Step 2: Convert to fraction form
    414,075,987/886,318,950 = 886,318,950/x
  3. Step 3: Cross multiply
    414,075,987x = 886,318,950 × 886,318,950
  4. Step 4: Simplify right side
    414,075,987x = 785,561,281,129,102,464
  5. Step 5: Solve for x
    x = 785,561,281,129,102,464/414,075,987
  6. Step 6: Final answer
    x = 1,897,142,809.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.