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Finding the Third Proportional to 834,497.44 and 1,291,114.69

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Solution

The third proportional to 834,497.44 and 1,291,114.69 is: 1,997,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,497.44 : 1,291,114.69 = 1,291,114.69 : x
  2. Step 2: Convert to fraction form
    834,497.44/1,291,114.69 = 1,291,114.69/x
  3. Step 3: Cross multiply
    834,497.44x = 1,291,114.69 × 1,291,114.69
  4. Step 4: Simplify right side
    834,497.44x = 1,666,977,136,278.22
  5. Step 5: Solve for x
    x = 1,666,977,136,278.22/834,497.44
  6. Step 6: Final answer
    x = 1,997,582.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.