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Finding the Third Proportional to 545,943 and 1,181,310

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Solution

The third proportional to 545,943 and 1,181,310 is: 2,556,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,943 : 1,181,310 = 1,181,310 : x
  2. Step 2: Convert to fraction form
    545,943/1,181,310 = 1,181,310/x
  3. Step 3: Cross multiply
    545,943x = 1,181,310 × 1,181,310
  4. Step 4: Simplify right side
    545,943x = 1,395,493,316,100
  5. Step 5: Solve for x
    x = 1,395,493,316,100/545,943
  6. Step 6: Final answer
    x = 2,556,115.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.