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Finding the Third Proportional to 430,734 and 947,040

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Solution

The third proportional to 430,734 and 947,040 is: 2,082,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,734 : 947,040 = 947,040 : x
  2. Step 2: Convert to fraction form
    430,734/947,040 = 947,040/x
  3. Step 3: Cross multiply
    430,734x = 947,040 × 947,040
  4. Step 4: Simplify right side
    430,734x = 896,884,761,600
  5. Step 5: Solve for x
    x = 896,884,761,600/430,734
  6. Step 6: Final answer
    x = 2,082,224.21

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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.