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Finding the Third Proportional to 646,907 and 926,323

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Solution

The third proportional to 646,907 and 926,323 is: 1,326,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,907 : 926,323 = 926,323 : x
  2. Step 2: Convert to fraction form
    646,907/926,323 = 926,323/x
  3. Step 3: Cross multiply
    646,907x = 926,323 × 926,323
  4. Step 4: Simplify right side
    646,907x = 858,074,300,329
  5. Step 5: Solve for x
    x = 858,074,300,329/646,907
  6. Step 6: Final answer
    x = 1,326,426.06

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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.