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Finding the Third Proportional to 2,160,443 and 4,655,497

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Solution

The third proportional to 2,160,443 and 4,655,497 is: 10,032,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,443 : 4,655,497 = 4,655,497 : x
  2. Step 2: Convert to fraction form
    2,160,443/4,655,497 = 4,655,497/x
  3. Step 3: Cross multiply
    2,160,443x = 4,655,497 × 4,655,497
  4. Step 4: Simplify right side
    2,160,443x = 21,673,652,317,009
  5. Step 5: Solve for x
    x = 21,673,652,317,009/2,160,443
  6. Step 6: Final answer
    x = 10,032,040.80

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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.