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Finding the Third Proportional to 430,574 and 926,962

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Solution

The third proportional to 430,574 and 926,962 is: 1,995,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,574 : 926,962 = 926,962 : x
  2. Step 2: Convert to fraction form
    430,574/926,962 = 926,962/x
  3. Step 3: Cross multiply
    430,574x = 926,962 × 926,962
  4. Step 4: Simplify right side
    430,574x = 859,258,549,444
  5. Step 5: Solve for x
    x = 859,258,549,444/430,574
  6. Step 6: Final answer
    x = 1,995,611.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.