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Finding the Third Proportional to 2,133,796 and 4,633,920

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Solution

The third proportional to 2,133,796 and 4,633,920 is: 10,063,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,796 : 4,633,920 = 4,633,920 : x
  2. Step 2: Convert to fraction form
    2,133,796/4,633,920 = 4,633,920/x
  3. Step 3: Cross multiply
    2,133,796x = 4,633,920 × 4,633,920
  4. Step 4: Simplify right side
    2,133,796x = 21,473,214,566,400
  5. Step 5: Solve for x
    x = 21,473,214,566,400/2,133,796
  6. Step 6: Final answer
    x = 10,063,386.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.