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Finding the Third Proportional to 1,057,401 and 1,507,369.50

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Solution

The third proportional to 1,057,401 and 1,507,369.50 is: 2,148,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,401 : 1,507,369.50 = 1,507,369.50 : x
  2. Step 2: Convert to fraction form
    1,057,401/1,507,369.50 = 1,507,369.50/x
  3. Step 3: Cross multiply
    1,057,401x = 1,507,369.50 × 1,507,369.50
  4. Step 4: Simplify right side
    1,057,401x = 2,272,162,809,530.25
  5. Step 5: Solve for x
    x = 2,272,162,809,530.25/1,057,401
  6. Step 6: Final answer
    x = 2,148,818.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.