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Finding the Third Proportional to 2,565,085.50 and 3,607,744.50

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Solution

The third proportional to 2,565,085.50 and 3,607,744.50 is: 5,074,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,085.50 : 3,607,744.50 = 3,607,744.50 : x
  2. Step 2: Convert to fraction form
    2,565,085.50/3,607,744.50 = 3,607,744.50/x
  3. Step 3: Cross multiply
    2,565,085.50x = 3,607,744.50 × 3,607,744.50
  4. Step 4: Simplify right side
    2,565,085.50x = 13,015,820,377,280.25
  5. Step 5: Solve for x
    x = 13,015,820,377,280.25/2,565,085.50
  6. Step 6: Final answer
    x = 5,074,224.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.