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Finding the Third Proportional to 646,903 and 926,317

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Solution

The third proportional to 646,903 and 926,317 is: 1,326,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,903 : 926,317 = 926,317 : x
  2. Step 2: Convert to fraction form
    646,903/926,317 = 926,317/x
  3. Step 3: Cross multiply
    646,903x = 926,317 × 926,317
  4. Step 4: Simplify right side
    646,903x = 858,063,184,489
  5. Step 5: Solve for x
    x = 858,063,184,489/646,903
  6. Step 6: Final answer
    x = 1,326,417.07

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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.