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Finding the Third Proportional to 1,184,559.75 and 1,732,414.50

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Solution

The third proportional to 1,184,559.75 and 1,732,414.50 is: 2,533,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,559.75 : 1,732,414.50 = 1,732,414.50 : x
  2. Step 2: Convert to fraction form
    1,184,559.75/1,732,414.50 = 1,732,414.50/x
  3. Step 3: Cross multiply
    1,184,559.75x = 1,732,414.50 × 1,732,414.50
  4. Step 4: Simplify right side
    1,184,559.75x = 3,001,259,999,810.25
  5. Step 5: Solve for x
    x = 3,001,259,999,810.25/1,184,559.75
  6. Step 6: Final answer
    x = 2,533,650.16

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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.