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Finding the Third Proportional to 5,824,704 and 9,117,328

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Solution

The third proportional to 5,824,704 and 9,117,328 is: 14,271,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,704 : 9,117,328 = 9,117,328 : x
  2. Step 2: Convert to fraction form
    5,824,704/9,117,328 = 9,117,328/x
  3. Step 3: Cross multiply
    5,824,704x = 9,117,328 × 9,117,328
  4. Step 4: Simplify right side
    5,824,704x = 83,125,669,859,584
  5. Step 5: Solve for x
    x = 83,125,669,859,584/5,824,704
  6. Step 6: Final answer
    x = 14,271,226.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.