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Finding the Third Proportional to 643,717.13 and 973,859.63

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Solution

The third proportional to 643,717.13 and 973,859.63 is: 1,473,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,717.13 : 973,859.63 = 973,859.63 : x
  2. Step 2: Convert to fraction form
    643,717.13/973,859.63 = 973,859.63/x
  3. Step 3: Cross multiply
    643,717.13x = 973,859.63 × 973,859.63
  4. Step 4: Simplify right side
    643,717.13x = 948,402,569,205.14
  5. Step 5: Solve for x
    x = 948,402,569,205.14/643,717.13
  6. Step 6: Final answer
    x = 1,473,321.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.