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Finding the Third Proportional to 430,743 and 947,058

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Solution

The third proportional to 430,743 and 947,058 is: 2,082,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,743 : 947,058 = 947,058 : x
  2. Step 2: Convert to fraction form
    430,743/947,058 = 947,058/x
  3. Step 3: Cross multiply
    430,743x = 947,058 × 947,058
  4. Step 4: Simplify right side
    430,743x = 896,918,855,364
  5. Step 5: Solve for x
    x = 896,918,855,364/430,743
  6. Step 6: Final answer
    x = 2,082,259.85

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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.