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Finding the Third Proportional to 646,901 and 926,314

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Solution

The third proportional to 646,901 and 926,314 is: 1,326,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,901 : 926,314 = 926,314 : x
  2. Step 2: Convert to fraction form
    646,901/926,314 = 926,314/x
  3. Step 3: Cross multiply
    646,901x = 926,314 × 926,314
  4. Step 4: Simplify right side
    646,901x = 858,057,626,596
  5. Step 5: Solve for x
    x = 858,057,626,596/646,901
  6. Step 6: Final answer
    x = 1,326,412.58

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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.