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Finding the Third Proportional to 1,609,664 and 3,411,237

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Solution

The third proportional to 1,609,664 and 3,411,237 is: 7,229,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,664 : 3,411,237 = 3,411,237 : x
  2. Step 2: Convert to fraction form
    1,609,664/3,411,237 = 3,411,237/x
  3. Step 3: Cross multiply
    1,609,664x = 3,411,237 × 3,411,237
  4. Step 4: Simplify right side
    1,609,664x = 11,636,537,870,169
  5. Step 5: Solve for x
    x = 11,636,537,870,169/1,609,664
  6. Step 6: Final answer
    x = 7,229,171.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.