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Finding the Third Proportional to 501,066 and 1,114,074

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Solution

The third proportional to 501,066 and 1,114,074 is: 2,477,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,066 : 1,114,074 = 1,114,074 : x
  2. Step 2: Convert to fraction form
    501,066/1,114,074 = 1,114,074/x
  3. Step 3: Cross multiply
    501,066x = 1,114,074 × 1,114,074
  4. Step 4: Simplify right side
    501,066x = 1,241,160,877,476
  5. Step 5: Solve for x
    x = 1,241,160,877,476/501,066
  6. Step 6: Final answer
    x = 2,477,040.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.