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Finding the Third Proportional to 571,176.56 and 1,215,706.22

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Solution

The third proportional to 571,176.56 and 1,215,706.22 is: 2,587,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,176.56 : 1,215,706.22 = 1,215,706.22 : x
  2. Step 2: Convert to fraction form
    571,176.56/1,215,706.22 = 1,215,706.22/x
  3. Step 3: Cross multiply
    571,176.56x = 1,215,706.22 × 1,215,706.22
  4. Step 4: Simplify right side
    571,176.56x = 1,477,941,610,307.42
  5. Step 5: Solve for x
    x = 1,477,941,610,307.42/571,176.56
  6. Step 6: Final answer
    x = 2,587,538.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.