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Finding the Third Proportional to 560,355 and 1,199,442

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Solution

The third proportional to 560,355 and 1,199,442 is: 2,567,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,355 : 1,199,442 = 1,199,442 : x
  2. Step 2: Convert to fraction form
    560,355/1,199,442 = 1,199,442/x
  3. Step 3: Cross multiply
    560,355x = 1,199,442 × 1,199,442
  4. Step 4: Simplify right side
    560,355x = 1,438,661,111,364
  5. Step 5: Solve for x
    x = 1,438,661,111,364/560,355
  6. Step 6: Final answer
    x = 2,567,410.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.