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Finding the Third Proportional to 431,683 and 915,968

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Solution

The third proportional to 431,683 and 915,968 is: 1,943,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,683 : 915,968 = 915,968 : x
  2. Step 2: Convert to fraction form
    431,683/915,968 = 915,968/x
  3. Step 3: Cross multiply
    431,683x = 915,968 × 915,968
  4. Step 4: Simplify right side
    431,683x = 838,997,377,024
  5. Step 5: Solve for x
    x = 838,997,377,024/431,683
  6. Step 6: Final answer
    x = 1,943,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.