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Finding the Third Proportional to 1,953,864 and 4,117,648

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Solution

The third proportional to 1,953,864 and 4,117,648 is: 8,677,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,864 : 4,117,648 = 4,117,648 : x
  2. Step 2: Convert to fraction form
    1,953,864/4,117,648 = 4,117,648/x
  3. Step 3: Cross multiply
    1,953,864x = 4,117,648 × 4,117,648
  4. Step 4: Simplify right side
    1,953,864x = 16,955,025,051,904
  5. Step 5: Solve for x
    x = 16,955,025,051,904/1,953,864
  6. Step 6: Final answer
    x = 8,677,689.47

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.