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Finding the Third Proportional to 849,143 and 1,363,521

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Solution

The third proportional to 849,143 and 1,363,521 is: 2,189,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,143 : 1,363,521 = 1,363,521 : x
  2. Step 2: Convert to fraction form
    849,143/1,363,521 = 1,363,521/x
  3. Step 3: Cross multiply
    849,143x = 1,363,521 × 1,363,521
  4. Step 4: Simplify right side
    849,143x = 1,859,189,517,441
  5. Step 5: Solve for x
    x = 1,859,189,517,441/849,143
  6. Step 6: Final answer
    x = 2,189,489.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.