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Finding the Third Proportional to 646,880 and 926,283

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Solution

The third proportional to 646,880 and 926,283 is: 1,326,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,880 : 926,283 = 926,283 : x
  2. Step 2: Convert to fraction form
    646,880/926,283 = 926,283/x
  3. Step 3: Cross multiply
    646,880x = 926,283 × 926,283
  4. Step 4: Simplify right side
    646,880x = 858,000,196,089
  5. Step 5: Solve for x
    x = 858,000,196,089/646,880
  6. Step 6: Final answer
    x = 1,326,366.86

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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.