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Finding the Third Proportional to 3,157,497 and 4,616,370

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Solution

The third proportional to 3,157,497 and 4,616,370 is: 6,749,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,497 : 4,616,370 = 4,616,370 : x
  2. Step 2: Convert to fraction form
    3,157,497/4,616,370 = 4,616,370/x
  3. Step 3: Cross multiply
    3,157,497x = 4,616,370 × 4,616,370
  4. Step 4: Simplify right side
    3,157,497x = 21,310,871,976,900
  5. Step 5: Solve for x
    x = 21,310,871,976,900/3,157,497
  6. Step 6: Final answer
    x = 6,749,292.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.