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Finding the Third Proportional to 702,529.13 and 1,657,863.94

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Solution

The third proportional to 702,529.13 and 1,657,863.94 is: 3,912,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,529.13 : 1,657,863.94 = 1,657,863.94 : x
  2. Step 2: Convert to fraction form
    702,529.13/1,657,863.94 = 1,657,863.94/x
  3. Step 3: Cross multiply
    702,529.13x = 1,657,863.94 × 1,657,863.94
  4. Step 4: Simplify right side
    702,529.13x = 2,748,512,835,263.00
  5. Step 5: Solve for x
    x = 2,748,512,835,263.00/702,529.13
  6. Step 6: Final answer
    x = 3,912,311.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.