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Finding the Third Proportional to 189,400,562 and 406,997,002

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Solution

The third proportional to 189,400,562 and 406,997,002 is: 874,583,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,400,562 : 406,997,002 = 406,997,002 : x
  2. Step 2: Convert to fraction form
    189,400,562/406,997,002 = 406,997,002/x
  3. Step 3: Cross multiply
    189,400,562x = 406,997,002 × 406,997,002
  4. Step 4: Simplify right side
    189,400,562x = 165,646,559,636,988,000
  5. Step 5: Solve for x
    x = 165,646,559,636,988,000/189,400,562
  6. Step 6: Final answer
    x = 874,583,253.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.