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Finding the Third Proportional to 2,359,543 and 3,608,083

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Solution

The third proportional to 2,359,543 and 3,608,083 is: 5,517,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,543 : 3,608,083 = 3,608,083 : x
  2. Step 2: Convert to fraction form
    2,359,543/3,608,083 = 3,608,083/x
  3. Step 3: Cross multiply
    2,359,543x = 3,608,083 × 3,608,083
  4. Step 4: Simplify right side
    2,359,543x = 13,018,262,934,889
  5. Step 5: Solve for x
    x = 13,018,262,934,889/2,359,543
  6. Step 6: Final answer
    x = 5,517,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.