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Finding the Third Proportional to 2,117,371 and 4,615,406

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Solution

The third proportional to 2,117,371 and 4,615,406 is: 10,060,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,371 : 4,615,406 = 4,615,406 : x
  2. Step 2: Convert to fraction form
    2,117,371/4,615,406 = 4,615,406/x
  3. Step 3: Cross multiply
    2,117,371x = 4,615,406 × 4,615,406
  4. Step 4: Simplify right side
    2,117,371x = 21,301,972,544,836
  5. Step 5: Solve for x
    x = 21,301,972,544,836/2,117,371
  6. Step 6: Final answer
    x = 10,060,576.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.