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Finding the Third Proportional to 1,648,075 and 3,562,641

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Solution

The third proportional to 1,648,075 and 3,562,641 is: 7,701,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,075 : 3,562,641 = 3,562,641 : x
  2. Step 2: Convert to fraction form
    1,648,075/3,562,641 = 3,562,641/x
  3. Step 3: Cross multiply
    1,648,075x = 3,562,641 × 3,562,641
  4. Step 4: Simplify right side
    1,648,075x = 12,692,410,894,881
  5. Step 5: Solve for x
    x = 12,692,410,894,881/1,648,075
  6. Step 6: Final answer
    x = 7,701,355.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.