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Finding the Third Proportional to 545,846.34 and 1,184,465.53

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Solution

The third proportional to 545,846.34 and 1,184,465.53 is: 2,570,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,846.34 : 1,184,465.53 = 1,184,465.53 : x
  2. Step 2: Convert to fraction form
    545,846.34/1,184,465.53 = 1,184,465.53/x
  3. Step 3: Cross multiply
    545,846.34x = 1,184,465.53 × 1,184,465.53
  4. Step 4: Simplify right side
    545,846.34x = 1,402,958,594,719.34
  5. Step 5: Solve for x
    x = 1,402,958,594,719.34/545,846.34
  6. Step 6: Final answer
    x = 2,570,244.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.