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Finding the Third Proportional to 2,160,705 and 4,641,669

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Solution

The third proportional to 2,160,705 and 4,641,669 is: 9,971,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,705 : 4,641,669 = 4,641,669 : x
  2. Step 2: Convert to fraction form
    2,160,705/4,641,669 = 4,641,669/x
  3. Step 3: Cross multiply
    2,160,705x = 4,641,669 × 4,641,669
  4. Step 4: Simplify right side
    2,160,705x = 21,545,091,105,561
  5. Step 5: Solve for x
    x = 21,545,091,105,561/2,160,705
  6. Step 6: Final answer
    x = 9,971,324.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.