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Finding the Third Proportional to 677,822 and 1,460,701

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Solution

The third proportional to 677,822 and 1,460,701 is: 3,147,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,822 : 1,460,701 = 1,460,701 : x
  2. Step 2: Convert to fraction form
    677,822/1,460,701 = 1,460,701/x
  3. Step 3: Cross multiply
    677,822x = 1,460,701 × 1,460,701
  4. Step 4: Simplify right side
    677,822x = 2,133,647,411,401
  5. Step 5: Solve for x
    x = 2,133,647,411,401/677,822
  6. Step 6: Final answer
    x = 3,147,799.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.