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Finding the Third Proportional to 923,887 and 1,975,451

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Solution

The third proportional to 923,887 and 1,975,451 is: 4,223,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,887 : 1,975,451 = 1,975,451 : x
  2. Step 2: Convert to fraction form
    923,887/1,975,451 = 1,975,451/x
  3. Step 3: Cross multiply
    923,887x = 1,975,451 × 1,975,451
  4. Step 4: Simplify right side
    923,887x = 3,902,406,653,401
  5. Step 5: Solve for x
    x = 3,902,406,653,401/923,887
  6. Step 6: Final answer
    x = 4,223,900.38

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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.