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Finding the Third Proportional to 1,705,275 and 3,646,837

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Solution

The third proportional to 1,705,275 and 3,646,837 is: 7,798,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,275 : 3,646,837 = 3,646,837 : x
  2. Step 2: Convert to fraction form
    1,705,275/3,646,837 = 3,646,837/x
  3. Step 3: Cross multiply
    1,705,275x = 3,646,837 × 3,646,837
  4. Step 4: Simplify right side
    1,705,275x = 13,299,420,104,569
  5. Step 5: Solve for x
    x = 13,299,420,104,569/1,705,275
  6. Step 6: Final answer
    x = 7,798,988.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.