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Finding the Third Proportional to 5,833,588 and 8,402,916

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Solution

The third proportional to 5,833,588 and 8,402,916 is: 12,103,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,588 : 8,402,916 = 8,402,916 : x
  2. Step 2: Convert to fraction form
    5,833,588/8,402,916 = 8,402,916/x
  3. Step 3: Cross multiply
    5,833,588x = 8,402,916 × 8,402,916
  4. Step 4: Simplify right side
    5,833,588x = 70,608,997,303,056
  5. Step 5: Solve for x
    x = 70,608,997,303,056/5,833,588
  6. Step 6: Final answer
    x = 12,103,871.12

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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.