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Finding the Third Proportional to 2,968,083 and 4,459,515.75

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Solution

The third proportional to 2,968,083 and 4,459,515.75 is: 6,700,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968,083 : 4,459,515.75 = 4,459,515.75 : x
  2. Step 2: Convert to fraction form
    2,968,083/4,459,515.75 = 4,459,515.75/x
  3. Step 3: Cross multiply
    2,968,083x = 4,459,515.75 × 4,459,515.75
  4. Step 4: Simplify right side
    2,968,083x = 19,887,280,724,498.06
  5. Step 5: Solve for x
    x = 19,887,280,724,498.06/2,968,083
  6. Step 6: Final answer
    x = 6,700,378.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.