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Finding the Third Proportional to 443,742 and 970,428

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Solution

The third proportional to 443,742 and 970,428 is: 2,122,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,742 : 970,428 = 970,428 : x
  2. Step 2: Convert to fraction form
    443,742/970,428 = 970,428/x
  3. Step 3: Cross multiply
    443,742x = 970,428 × 970,428
  4. Step 4: Simplify right side
    443,742x = 941,730,503,184
  5. Step 5: Solve for x
    x = 941,730,503,184/443,742
  6. Step 6: Final answer
    x = 2,122,247.84

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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.