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Finding the Third Proportional to 563,964 and 1,174,401

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Solution

The third proportional to 563,964 and 1,174,401 is: 2,445,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,964 : 1,174,401 = 1,174,401 : x
  2. Step 2: Convert to fraction form
    563,964/1,174,401 = 1,174,401/x
  3. Step 3: Cross multiply
    563,964x = 1,174,401 × 1,174,401
  4. Step 4: Simplify right side
    563,964x = 1,379,217,708,801
  5. Step 5: Solve for x
    x = 1,379,217,708,801/563,964
  6. Step 6: Final answer
    x = 2,445,577.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.