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Finding the Third Proportional to 1,083,132 and 1,683,909

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Solution

The third proportional to 1,083,132 and 1,683,909 is: 2,617,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,132 : 1,683,909 = 1,683,909 : x
  2. Step 2: Convert to fraction form
    1,083,132/1,683,909 = 1,683,909/x
  3. Step 3: Cross multiply
    1,083,132x = 1,683,909 × 1,683,909
  4. Step 4: Simplify right side
    1,083,132x = 2,835,549,520,281
  5. Step 5: Solve for x
    x = 2,835,549,520,281/1,083,132
  6. Step 6: Final answer
    x = 2,617,916.86

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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.