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Finding the Third Proportional to 546,336 and 1,114,350

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Solution

The third proportional to 546,336 and 1,114,350 is: 2,272,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,336 : 1,114,350 = 1,114,350 : x
  2. Step 2: Convert to fraction form
    546,336/1,114,350 = 1,114,350/x
  3. Step 3: Cross multiply
    546,336x = 1,114,350 × 1,114,350
  4. Step 4: Simplify right side
    546,336x = 1,241,775,922,500
  5. Step 5: Solve for x
    x = 1,241,775,922,500/546,336
  6. Step 6: Final answer
    x = 2,272,916.16

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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.