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Finding the Third Proportional to 429,080 and 925,604

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Solution

The third proportional to 429,080 and 925,604 is: 1,996,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,080 : 925,604 = 925,604 : x
  2. Step 2: Convert to fraction form
    429,080/925,604 = 925,604/x
  3. Step 3: Cross multiply
    429,080x = 925,604 × 925,604
  4. Step 4: Simplify right side
    429,080x = 856,742,764,816
  5. Step 5: Solve for x
    x = 856,742,764,816/429,080
  6. Step 6: Final answer
    x = 1,996,697.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.