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Finding the Third Proportional to 1,693,663 and 2,414,377

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Solution

The third proportional to 1,693,663 and 2,414,377 is: 3,441,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,663 : 2,414,377 = 2,414,377 : x
  2. Step 2: Convert to fraction form
    1,693,663/2,414,377 = 2,414,377/x
  3. Step 3: Cross multiply
    1,693,663x = 2,414,377 × 2,414,377
  4. Step 4: Simplify right side
    1,693,663x = 5,829,216,298,129
  5. Step 5: Solve for x
    x = 5,829,216,298,129/1,693,663
  6. Step 6: Final answer
    x = 3,441,780.51

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.