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Finding the Third Proportional to 772,877 and 1,683,040

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Solution

The third proportional to 772,877 and 1,683,040 is: 3,665,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,877 : 1,683,040 = 1,683,040 : x
  2. Step 2: Convert to fraction form
    772,877/1,683,040 = 1,683,040/x
  3. Step 3: Cross multiply
    772,877x = 1,683,040 × 1,683,040
  4. Step 4: Simplify right side
    772,877x = 2,832,623,641,600
  5. Step 5: Solve for x
    x = 2,832,623,641,600/772,877
  6. Step 6: Final answer
    x = 3,665,038.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.