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Finding the Third Proportional to 1,835,442 and 2,954,913.50

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Solution

The third proportional to 1,835,442 and 2,954,913.50 is: 4,757,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,442 : 2,954,913.50 = 2,954,913.50 : x
  2. Step 2: Convert to fraction form
    1,835,442/2,954,913.50 = 2,954,913.50/x
  3. Step 3: Cross multiply
    1,835,442x = 2,954,913.50 × 2,954,913.50
  4. Step 4: Simplify right side
    1,835,442x = 8,731,513,792,482.25
  5. Step 5: Solve for x
    x = 8,731,513,792,482.25/1,835,442
  6. Step 6: Final answer
    x = 4,757,172.27

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.