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Finding the Third Proportional to 560,753.19 and 1,230,069.48

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Solution

The third proportional to 560,753.19 and 1,230,069.48 is: 2,698,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,753.19 : 1,230,069.48 = 1,230,069.48 : x
  2. Step 2: Convert to fraction form
    560,753.19/1,230,069.48 = 1,230,069.48/x
  3. Step 3: Cross multiply
    560,753.19x = 1,230,069.48 × 1,230,069.48
  4. Step 4: Simplify right side
    560,753.19x = 1,513,070,926,780.78
  5. Step 5: Solve for x
    x = 1,513,070,926,780.78/560,753.19
  6. Step 6: Final answer
    x = 2,698,283.22

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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.