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Finding the Third Proportional to 1,657,288.13 and 2,586,659.63

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Solution

The third proportional to 1,657,288.13 and 2,586,659.63 is: 4,037,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,288.13 : 2,586,659.63 = 2,586,659.63 : x
  2. Step 2: Convert to fraction form
    1,657,288.13/2,586,659.63 = 2,586,659.63/x
  3. Step 3: Cross multiply
    1,657,288.13x = 2,586,659.63 × 2,586,659.63
  4. Step 4: Simplify right side
    1,657,288.13x = 6,690,808,015,605.14
  5. Step 5: Solve for x
    x = 6,690,808,015,605.14/1,657,288.13
  6. Step 6: Final answer
    x = 4,037,202.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.