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Finding the Third Proportional to 535,066 and 1,114,418

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Solution

The third proportional to 535,066 and 1,114,418 is: 2,321,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,066 : 1,114,418 = 1,114,418 : x
  2. Step 2: Convert to fraction form
    535,066/1,114,418 = 1,114,418/x
  3. Step 3: Cross multiply
    535,066x = 1,114,418 × 1,114,418
  4. Step 4: Simplify right side
    535,066x = 1,241,927,478,724
  5. Step 5: Solve for x
    x = 1,241,927,478,724/535,066
  6. Step 6: Final answer
    x = 2,321,073.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.