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Finding the Third Proportional to 556,024 and 1,190,780

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Solution

The third proportional to 556,024 and 1,190,780 is: 2,550,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,024 : 1,190,780 = 1,190,780 : x
  2. Step 2: Convert to fraction form
    556,024/1,190,780 = 1,190,780/x
  3. Step 3: Cross multiply
    556,024x = 1,190,780 × 1,190,780
  4. Step 4: Simplify right side
    556,024x = 1,417,957,008,400
  5. Step 5: Solve for x
    x = 1,417,957,008,400/556,024
  6. Step 6: Final answer
    x = 2,550,172.31

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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.