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Finding the Third Proportional to 430,737 and 947,046

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Solution

The third proportional to 430,737 and 947,046 is: 2,082,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,737 : 947,046 = 947,046 : x
  2. Step 2: Convert to fraction form
    430,737/947,046 = 947,046/x
  3. Step 3: Cross multiply
    430,737x = 947,046 × 947,046
  4. Step 4: Simplify right side
    430,737x = 896,896,126,116
  5. Step 5: Solve for x
    x = 896,896,126,116/430,737
  6. Step 6: Final answer
    x = 2,082,236.09

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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.