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Finding the Third Proportional to 545,962 and 1,181,352

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Solution

The third proportional to 545,962 and 1,181,352 is: 2,556,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,962 : 1,181,352 = 1,181,352 : x
  2. Step 2: Convert to fraction form
    545,962/1,181,352 = 1,181,352/x
  3. Step 3: Cross multiply
    545,962x = 1,181,352 × 1,181,352
  4. Step 4: Simplify right side
    545,962x = 1,395,592,547,904
  5. Step 5: Solve for x
    x = 1,395,592,547,904/545,962
  6. Step 6: Final answer
    x = 2,556,208.21

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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.