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Finding the Third Proportional to 2,152,614 and 4,614,324

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Solution

The third proportional to 2,152,614 and 4,614,324 is: 9,891,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,614 : 4,614,324 = 4,614,324 : x
  2. Step 2: Convert to fraction form
    2,152,614/4,614,324 = 4,614,324/x
  3. Step 3: Cross multiply
    2,152,614x = 4,614,324 × 4,614,324
  4. Step 4: Simplify right side
    2,152,614x = 21,291,985,976,976
  5. Step 5: Solve for x
    x = 21,291,985,976,976/2,152,614
  6. Step 6: Final answer
    x = 9,891,223.40

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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.