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Finding the Third Proportional to 508,747 and 1,106,069

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Solution

The third proportional to 508,747 and 1,106,069 is: 2,404,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,747 : 1,106,069 = 1,106,069 : x
  2. Step 2: Convert to fraction form
    508,747/1,106,069 = 1,106,069/x
  3. Step 3: Cross multiply
    508,747x = 1,106,069 × 1,106,069
  4. Step 4: Simplify right side
    508,747x = 1,223,388,632,761
  5. Step 5: Solve for x
    x = 1,223,388,632,761/508,747
  6. Step 6: Final answer
    x = 2,404,709.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.