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Finding the Third Proportional to 1,360,413 and 2,989,084

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Solution

The third proportional to 1,360,413 and 2,989,084 is: 6,567,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,413 : 2,989,084 = 2,989,084 : x
  2. Step 2: Convert to fraction form
    1,360,413/2,989,084 = 2,989,084/x
  3. Step 3: Cross multiply
    1,360,413x = 2,989,084 × 2,989,084
  4. Step 4: Simplify right side
    1,360,413x = 8,934,623,159,056
  5. Step 5: Solve for x
    x = 8,934,623,159,056/1,360,413
  6. Step 6: Final answer
    x = 6,567,581.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.