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Finding the Third Proportional to 1,681,330 and 2,676,623

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Solution

The third proportional to 1,681,330 and 2,676,623 is: 4,261,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,330 : 2,676,623 = 2,676,623 : x
  2. Step 2: Convert to fraction form
    1,681,330/2,676,623 = 2,676,623/x
  3. Step 3: Cross multiply
    1,681,330x = 2,676,623 × 2,676,623
  4. Step 4: Simplify right side
    1,681,330x = 7,164,310,684,129
  5. Step 5: Solve for x
    x = 7,164,310,684,129/1,681,330
  6. Step 6: Final answer
    x = 4,261,097.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.