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Finding the Third Proportional to 457,243 and 1,001,659

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Solution

The third proportional to 457,243 and 1,001,659 is: 2,194,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,243 : 1,001,659 = 1,001,659 : x
  2. Step 2: Convert to fraction form
    457,243/1,001,659 = 1,001,659/x
  3. Step 3: Cross multiply
    457,243x = 1,001,659 × 1,001,659
  4. Step 4: Simplify right side
    457,243x = 1,003,320,752,281
  5. Step 5: Solve for x
    x = 1,003,320,752,281/457,243
  6. Step 6: Final answer
    x = 2,194,283.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.