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Finding the Third Proportional to 627,426 and 947,025

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Solution

The third proportional to 627,426 and 947,025 is: 1,429,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,426 : 947,025 = 947,025 : x
  2. Step 2: Convert to fraction form
    627,426/947,025 = 947,025/x
  3. Step 3: Cross multiply
    627,426x = 947,025 × 947,025
  4. Step 4: Simplify right side
    627,426x = 896,856,350,625
  5. Step 5: Solve for x
    x = 896,856,350,625/627,426
  6. Step 6: Final answer
    x = 1,429,421.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.