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Finding the Third Proportional to 646,908 and 926,324

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Solution

The third proportional to 646,908 and 926,324 is: 1,326,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,908 : 926,324 = 926,324 : x
  2. Step 2: Convert to fraction form
    646,908/926,324 = 926,324/x
  3. Step 3: Cross multiply
    646,908x = 926,324 × 926,324
  4. Step 4: Simplify right side
    646,908x = 858,076,152,976
  5. Step 5: Solve for x
    x = 858,076,152,976/646,908
  6. Step 6: Final answer
    x = 1,326,426.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.