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Finding the Third Proportional to 2,205,306 and 3,465,609

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Solution

The third proportional to 2,205,306 and 3,465,609 is: 5,446,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,306 : 3,465,609 = 3,465,609 : x
  2. Step 2: Convert to fraction form
    2,205,306/3,465,609 = 3,465,609/x
  3. Step 3: Cross multiply
    2,205,306x = 3,465,609 × 3,465,609
  4. Step 4: Simplify right side
    2,205,306x = 12,010,445,740,881
  5. Step 5: Solve for x
    x = 12,010,445,740,881/2,205,306
  6. Step 6: Final answer
    x = 5,446,158.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.