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Finding the Third Proportional to 546,333 and 1,114,344

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Solution

The third proportional to 546,333 and 1,114,344 is: 2,272,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,333 : 1,114,344 = 1,114,344 : x
  2. Step 2: Convert to fraction form
    546,333/1,114,344 = 1,114,344/x
  3. Step 3: Cross multiply
    546,333x = 1,114,344 × 1,114,344
  4. Step 4: Simplify right side
    546,333x = 1,241,762,550,336
  5. Step 5: Solve for x
    x = 1,241,762,550,336/546,333
  6. Step 6: Final answer
    x = 2,272,904.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.