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Finding the Third Proportional to 414,075,636 and 886,318,200

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Solution

The third proportional to 414,075,636 and 886,318,200 is: 1,897,141,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,075,636 : 886,318,200 = 886,318,200 : x
  2. Step 2: Convert to fraction form
    414,075,636/886,318,200 = 886,318,200/x
  3. Step 3: Cross multiply
    414,075,636x = 886,318,200 × 886,318,200
  4. Step 4: Simplify right side
    414,075,636x = 785,559,951,651,239,936
  5. Step 5: Solve for x
    x = 785,559,951,651,239,936/414,075,636
  6. Step 6: Final answer
    x = 1,897,141,206.47

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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.