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Finding the Third Proportional to 841,941 and 1,283,924.25

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Solution

The third proportional to 841,941 and 1,283,924.25 is: 1,957,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,941 : 1,283,924.25 = 1,283,924.25 : x
  2. Step 2: Convert to fraction form
    841,941/1,283,924.25 = 1,283,924.25/x
  3. Step 3: Cross multiply
    841,941x = 1,283,924.25 × 1,283,924.25
  4. Step 4: Simplify right side
    841,941x = 1,648,461,479,738.06
  5. Step 5: Solve for x
    x = 1,648,461,479,738.06/841,941
  6. Step 6: Final answer
    x = 1,957,929.93

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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.