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Finding the Third Proportional to 641,010 and 1,401,089.50

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Solution

The third proportional to 641,010 and 1,401,089.50 is: 3,062,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,010 : 1,401,089.50 = 1,401,089.50 : x
  2. Step 2: Convert to fraction form
    641,010/1,401,089.50 = 1,401,089.50/x
  3. Step 3: Cross multiply
    641,010x = 1,401,089.50 × 1,401,089.50
  4. Step 4: Simplify right side
    641,010x = 1,963,051,787,010.25
  5. Step 5: Solve for x
    x = 1,963,051,787,010.25/641,010
  6. Step 6: Final answer
    x = 3,062,435.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.