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Finding the Third Proportional to 841,943 and 1,283,927

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Solution

The third proportional to 841,943 and 1,283,927 is: 1,957,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,943 : 1,283,927 = 1,283,927 : x
  2. Step 2: Convert to fraction form
    841,943/1,283,927 = 1,283,927/x
  3. Step 3: Cross multiply
    841,943x = 1,283,927 × 1,283,927
  4. Step 4: Simplify right side
    841,943x = 1,648,468,541,329
  5. Step 5: Solve for x
    x = 1,648,468,541,329/841,943
  6. Step 6: Final answer
    x = 1,957,933.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.