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Finding the Third Proportional to 1,772,583.75 and 2,581,372.13

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Solution

The third proportional to 1,772,583.75 and 2,581,372.13 is: 3,759,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,583.75 : 2,581,372.13 = 2,581,372.13 : x
  2. Step 2: Convert to fraction form
    1,772,583.75/2,581,372.13 = 2,581,372.13/x
  3. Step 3: Cross multiply
    1,772,583.75x = 2,581,372.13 × 2,581,372.13
  4. Step 4: Simplify right side
    1,772,583.75x = 6,663,482,047,727.02
  5. Step 5: Solve for x
    x = 6,663,482,047,727.02/1,772,583.75
  6. Step 6: Final answer
    x = 3,759,191.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.