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Finding the Third Proportional to 987,462 and 2,124,774

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Solution

The third proportional to 987,462 and 2,124,774 is: 4,571,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,462 : 2,124,774 = 2,124,774 : x
  2. Step 2: Convert to fraction form
    987,462/2,124,774 = 2,124,774/x
  3. Step 3: Cross multiply
    987,462x = 2,124,774 × 2,124,774
  4. Step 4: Simplify right side
    987,462x = 4,514,664,551,076
  5. Step 5: Solve for x
    x = 4,514,664,551,076/987,462
  6. Step 6: Final answer
    x = 4,571,988.14

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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.