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Finding the Third Proportional to 457,287 and 1,051,740

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Solution

The third proportional to 457,287 and 1,051,740 is: 2,418,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,287 : 1,051,740 = 1,051,740 : x
  2. Step 2: Convert to fraction form
    457,287/1,051,740 = 1,051,740/x
  3. Step 3: Cross multiply
    457,287x = 1,051,740 × 1,051,740
  4. Step 4: Simplify right side
    457,287x = 1,106,157,027,600
  5. Step 5: Solve for x
    x = 1,106,157,027,600/457,287
  6. Step 6: Final answer
    x = 2,418,955.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.