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Finding the Third Proportional to 2,208,176.25 and 3,323,320.50

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Solution

The third proportional to 2,208,176.25 and 3,323,320.50 is: 5,001,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,176.25 : 3,323,320.50 = 3,323,320.50 : x
  2. Step 2: Convert to fraction form
    2,208,176.25/3,323,320.50 = 3,323,320.50/x
  3. Step 3: Cross multiply
    2,208,176.25x = 3,323,320.50 × 3,323,320.50
  4. Step 4: Simplify right side
    2,208,176.25x = 11,044,459,145,720.25
  5. Step 5: Solve for x
    x = 11,044,459,145,720.25/2,208,176.25
  6. Step 6: Final answer
    x = 5,001,620.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.