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Finding the Third Proportional to 558,242 and 1,210,084

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Solution

The third proportional to 558,242 and 1,210,084 is: 2,623,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,242 : 1,210,084 = 1,210,084 : x
  2. Step 2: Convert to fraction form
    558,242/1,210,084 = 1,210,084/x
  3. Step 3: Cross multiply
    558,242x = 1,210,084 × 1,210,084
  4. Step 4: Simplify right side
    558,242x = 1,464,303,287,056
  5. Step 5: Solve for x
    x = 1,464,303,287,056/558,242
  6. Step 6: Final answer
    x = 2,623,061.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.