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Finding the Third Proportional to 414,075,584 and 886,318,078

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Solution

The third proportional to 414,075,584 and 886,318,078 is: 1,897,140,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,075,584 : 886,318,078 = 886,318,078 : x
  2. Step 2: Convert to fraction form
    414,075,584/886,318,078 = 886,318,078/x
  3. Step 3: Cross multiply
    414,075,584x = 886,318,078 × 886,318,078
  4. Step 4: Simplify right side
    414,075,584x = 785,559,735,389,614,080
  5. Step 5: Solve for x
    x = 785,559,735,389,614,080/414,075,584
  6. Step 6: Final answer
    x = 1,897,140,922.44

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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.