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Finding the Third Proportional to 560,768 and 1,230,102

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Solution

The third proportional to 560,768 and 1,230,102 is: 2,698,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,768 : 1,230,102 = 1,230,102 : x
  2. Step 2: Convert to fraction form
    560,768/1,230,102 = 1,230,102/x
  3. Step 3: Cross multiply
    560,768x = 1,230,102 × 1,230,102
  4. Step 4: Simplify right side
    560,768x = 1,513,150,930,404
  5. Step 5: Solve for x
    x = 1,513,150,930,404/560,768
  6. Step 6: Final answer
    x = 2,698,354.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.