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Finding the Third Proportional to 1,691,642 and 2,473,959

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Solution

The third proportional to 1,691,642 and 2,473,959 is: 3,618,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,642 : 2,473,959 = 2,473,959 : x
  2. Step 2: Convert to fraction form
    1,691,642/2,473,959 = 2,473,959/x
  3. Step 3: Cross multiply
    1,691,642x = 2,473,959 × 2,473,959
  4. Step 4: Simplify right side
    1,691,642x = 6,120,473,133,681
  5. Step 5: Solve for x
    x = 6,120,473,133,681/1,691,642
  6. Step 6: Final answer
    x = 3,618,066.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.