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Finding the Third Proportional to 414,708,092 and 890,960,200

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Solution

The third proportional to 414,708,092 and 890,960,200 is: 1,914,141,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,708,092 : 890,960,200 = 890,960,200 : x
  2. Step 2: Convert to fraction form
    414,708,092/890,960,200 = 890,960,200/x
  3. Step 3: Cross multiply
    414,708,092x = 890,960,200 × 890,960,200
  4. Step 4: Simplify right side
    414,708,092x = 793,810,077,984,039,936
  5. Step 5: Solve for x
    x = 793,810,077,984,039,936/414,708,092
  6. Step 6: Final answer
    x = 1,914,141,762.11

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Why These Related Problems?

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