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Finding the Third Proportional to 457,875 and 928,689

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Solution

The third proportional to 457,875 and 928,689 is: 1,883,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,875 : 928,689 = 928,689 : x
  2. Step 2: Convert to fraction form
    457,875/928,689 = 928,689/x
  3. Step 3: Cross multiply
    457,875x = 928,689 × 928,689
  4. Step 4: Simplify right side
    457,875x = 862,463,258,721
  5. Step 5: Solve for x
    x = 862,463,258,721/457,875
  6. Step 6: Final answer
    x = 1,883,621.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.