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Finding the Third Proportional to 457,166 and 1,051,421

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Solution

The third proportional to 457,166 and 1,051,421 is: 2,418,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,166 : 1,051,421 = 1,051,421 : x
  2. Step 2: Convert to fraction form
    457,166/1,051,421 = 1,051,421/x
  3. Step 3: Cross multiply
    457,166x = 1,051,421 × 1,051,421
  4. Step 4: Simplify right side
    457,166x = 1,105,486,119,241
  5. Step 5: Solve for x
    x = 1,105,486,119,241/457,166
  6. Step 6: Final answer
    x = 2,418,128.47

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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.