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Finding the Third Proportional to 5,833,586 and 8,402,913

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Solution

The third proportional to 5,833,586 and 8,402,913 is: 12,103,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,586 : 8,402,913 = 8,402,913 : x
  2. Step 2: Convert to fraction form
    5,833,586/8,402,913 = 8,402,913/x
  3. Step 3: Cross multiply
    5,833,586x = 8,402,913 × 8,402,913
  4. Step 4: Simplify right side
    5,833,586x = 70,608,946,885,569
  5. Step 5: Solve for x
    x = 70,608,946,885,569/5,833,586
  6. Step 6: Final answer
    x = 12,103,866.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.