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Finding the Third Proportional to 643,623 and 1,388,412

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Solution

The third proportional to 643,623 and 1,388,412 is: 2,995,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,623 : 1,388,412 = 1,388,412 : x
  2. Step 2: Convert to fraction form
    643,623/1,388,412 = 1,388,412/x
  3. Step 3: Cross multiply
    643,623x = 1,388,412 × 1,388,412
  4. Step 4: Simplify right side
    643,623x = 1,927,687,881,744
  5. Step 5: Solve for x
    x = 1,927,687,881,744/643,623
  6. Step 6: Final answer
    x = 2,995,057.48

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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.