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Finding the Third Proportional to 846,391 and 1,825,643

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Solution

The third proportional to 846,391 and 1,825,643 is: 3,937,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,391 : 1,825,643 = 1,825,643 : x
  2. Step 2: Convert to fraction form
    846,391/1,825,643 = 1,825,643/x
  3. Step 3: Cross multiply
    846,391x = 1,825,643 × 1,825,643
  4. Step 4: Simplify right side
    846,391x = 3,332,972,363,449
  5. Step 5: Solve for x
    x = 3,332,972,363,449/846,391
  6. Step 6: Final answer
    x = 3,937,863.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.