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Finding the Third Proportional to 476,507 and 929,069

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Solution

The third proportional to 476,507 and 929,069 is: 1,811,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,507 : 929,069 = 929,069 : x
  2. Step 2: Convert to fraction form
    476,507/929,069 = 929,069/x
  3. Step 3: Cross multiply
    476,507x = 929,069 × 929,069
  4. Step 4: Simplify right side
    476,507x = 863,169,206,761
  5. Step 5: Solve for x
    x = 863,169,206,761/476,507
  6. Step 6: Final answer
    x = 1,811,451.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.