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Finding the Third Proportional to 2,594,906 and 4,132,201

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Solution

The third proportional to 2,594,906 and 4,132,201 is: 6,580,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,906 : 4,132,201 = 4,132,201 : x
  2. Step 2: Convert to fraction form
    2,594,906/4,132,201 = 4,132,201/x
  3. Step 3: Cross multiply
    2,594,906x = 4,132,201 × 4,132,201
  4. Step 4: Simplify right side
    2,594,906x = 17,075,085,104,401
  5. Step 5: Solve for x
    x = 17,075,085,104,401/2,594,906
  6. Step 6: Final answer
    x = 6,580,232.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.