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Finding the Third Proportional to 1,577,461 and 3,431,308

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Solution

The third proportional to 1,577,461 and 3,431,308 is: 7,463,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,461 : 3,431,308 = 3,431,308 : x
  2. Step 2: Convert to fraction form
    1,577,461/3,431,308 = 3,431,308/x
  3. Step 3: Cross multiply
    1,577,461x = 3,431,308 × 3,431,308
  4. Step 4: Simplify right side
    1,577,461x = 11,773,874,590,864
  5. Step 5: Solve for x
    x = 11,773,874,590,864/1,577,461
  6. Step 6: Final answer
    x = 7,463,813.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.