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Finding the Third Proportional to 520,047 and 1,113,507

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Solution

The third proportional to 520,047 and 1,113,507 is: 2,384,203.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047 : 1,113,507 = 1,113,507 : x
  2. Step 2: Convert to fraction form
    520,047/1,113,507 = 1,113,507/x
  3. Step 3: Cross multiply
    520,047x = 1,113,507 × 1,113,507
  4. Step 4: Simplify right side
    520,047x = 1,239,897,839,049
  5. Step 5: Solve for x
    x = 1,239,897,839,049/520,047
  6. Step 6: Final answer
    x = 2,384,203.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.