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Finding the Third Proportional to 430,736 and 947,044

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Solution

The third proportional to 430,736 and 947,044 is: 2,082,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,736 : 947,044 = 947,044 : x
  2. Step 2: Convert to fraction form
    430,736/947,044 = 947,044/x
  3. Step 3: Cross multiply
    430,736x = 947,044 × 947,044
  4. Step 4: Simplify right side
    430,736x = 896,892,337,936
  5. Step 5: Solve for x
    x = 896,892,337,936/430,736
  6. Step 6: Final answer
    x = 2,082,232.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.