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Finding the Third Proportional to 2,143,374 and 4,623,272

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Solution

The third proportional to 2,143,374 and 4,623,272 is: 9,972,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,374 : 4,623,272 = 4,623,272 : x
  2. Step 2: Convert to fraction form
    2,143,374/4,623,272 = 4,623,272/x
  3. Step 3: Cross multiply
    2,143,374x = 4,623,272 × 4,623,272
  4. Step 4: Simplify right side
    2,143,374x = 21,374,643,985,984
  5. Step 5: Solve for x
    x = 21,374,643,985,984/2,143,374
  6. Step 6: Final answer
    x = 9,972,428.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.