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Finding the Third Proportional to 683,862.75 and 1,583,152.59

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Solution

The third proportional to 683,862.75 and 1,583,152.59 is: 3,665,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,862.75 : 1,583,152.59 = 1,583,152.59 : x
  2. Step 2: Convert to fraction form
    683,862.75/1,583,152.59 = 1,583,152.59/x
  3. Step 3: Cross multiply
    683,862.75x = 1,583,152.59 × 1,583,152.59
  4. Step 4: Simplify right side
    683,862.75x = 2,506,372,135,097.35
  5. Step 5: Solve for x
    x = 2,506,372,135,097.35/683,862.75
  6. Step 6: Final answer
    x = 3,665,022.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.