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Finding the Third Proportional to 501,068 and 1,114,078

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Solution

The third proportional to 501,068 and 1,114,078 is: 2,477,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,068 : 1,114,078 = 1,114,078 : x
  2. Step 2: Convert to fraction form
    501,068/1,114,078 = 1,114,078/x
  3. Step 3: Cross multiply
    501,068x = 1,114,078 × 1,114,078
  4. Step 4: Simplify right side
    501,068x = 1,241,169,790,084
  5. Step 5: Solve for x
    x = 1,241,169,790,084/501,068
  6. Step 6: Final answer
    x = 2,477,048.60

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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.