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Finding the Third Proportional to 430,731 and 947,031

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Solution

The third proportional to 430,731 and 947,031 is: 2,082,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,731 : 947,031 = 947,031 : x
  2. Step 2: Convert to fraction form
    430,731/947,031 = 947,031/x
  3. Step 3: Cross multiply
    430,731x = 947,031 × 947,031
  4. Step 4: Simplify right side
    430,731x = 896,867,714,961
  5. Step 5: Solve for x
    x = 896,867,714,961/430,731
  6. Step 6: Final answer
    x = 2,082,199.13

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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.