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Finding the Third Proportional to 1,305,905 and 1,849,507

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Solution

The third proportional to 1,305,905 and 1,849,507 is: 2,619,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,905 : 1,849,507 = 1,849,507 : x
  2. Step 2: Convert to fraction form
    1,305,905/1,849,507 = 1,849,507/x
  3. Step 3: Cross multiply
    1,305,905x = 1,849,507 × 1,849,507
  4. Step 4: Simplify right side
    1,305,905x = 3,420,676,143,049
  5. Step 5: Solve for x
    x = 3,420,676,143,049/1,305,905
  6. Step 6: Final answer
    x = 2,619,391.26

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.