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Finding the Third Proportional to 430,634 and 927,078

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Solution

The third proportional to 430,634 and 927,078 is: 1,995,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,634 : 927,078 = 927,078 : x
  2. Step 2: Convert to fraction form
    430,634/927,078 = 927,078/x
  3. Step 3: Cross multiply
    430,634x = 927,078 × 927,078
  4. Step 4: Simplify right side
    430,634x = 859,473,618,084
  5. Step 5: Solve for x
    x = 859,473,618,084/430,634
  6. Step 6: Final answer
    x = 1,995,833.16

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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.