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Finding the Third Proportional to 714,266 and 1,525,401

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Solution

The third proportional to 714,266 and 1,525,401 is: 3,257,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,266 : 1,525,401 = 1,525,401 : x
  2. Step 2: Convert to fraction form
    714,266/1,525,401 = 1,525,401/x
  3. Step 3: Cross multiply
    714,266x = 1,525,401 × 1,525,401
  4. Step 4: Simplify right side
    714,266x = 2,326,848,210,801
  5. Step 5: Solve for x
    x = 2,326,848,210,801/714,266
  6. Step 6: Final answer
    x = 3,257,677.41

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Why These Related Problems?

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