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Finding the Third Proportional to 987,704 and 2,164,148

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Solution

The third proportional to 987,704 and 2,164,148 is: 4,741,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,704 : 2,164,148 = 2,164,148 : x
  2. Step 2: Convert to fraction form
    987,704/2,164,148 = 2,164,148/x
  3. Step 3: Cross multiply
    987,704x = 2,164,148 × 2,164,148
  4. Step 4: Simplify right side
    987,704x = 4,683,536,565,904
  5. Step 5: Solve for x
    x = 4,683,536,565,904/987,704
  6. Step 6: Final answer
    x = 4,741,842.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.