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Finding the Third Proportional to 560,753 and 1,233,604

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Solution

The third proportional to 560,753 and 1,233,604 is: 2,713,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,753 : 1,233,604 = 1,233,604 : x
  2. Step 2: Convert to fraction form
    560,753/1,233,604 = 1,233,604/x
  3. Step 3: Cross multiply
    560,753x = 1,233,604 × 1,233,604
  4. Step 4: Simplify right side
    560,753x = 1,521,778,828,816
  5. Step 5: Solve for x
    x = 1,521,778,828,816/560,753
  6. Step 6: Final answer
    x = 2,713,813.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.