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Finding the Third Proportional to 385,974 and 837,968

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Solution

The third proportional to 385,974 and 837,968 is: 1,819,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,974 : 837,968 = 837,968 : x
  2. Step 2: Convert to fraction form
    385,974/837,968 = 837,968/x
  3. Step 3: Cross multiply
    385,974x = 837,968 × 837,968
  4. Step 4: Simplify right side
    385,974x = 702,190,369,024
  5. Step 5: Solve for x
    x = 702,190,369,024/385,974
  6. Step 6: Final answer
    x = 1,819,268.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.