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Finding the Third Proportional to 829,254 and 1,717,548

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Solution

The third proportional to 829,254 and 1,717,548 is: 3,557,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,254 : 1,717,548 = 1,717,548 : x
  2. Step 2: Convert to fraction form
    829,254/1,717,548 = 1,717,548/x
  3. Step 3: Cross multiply
    829,254x = 1,717,548 × 1,717,548
  4. Step 4: Simplify right side
    829,254x = 2,949,971,132,304
  5. Step 5: Solve for x
    x = 2,949,971,132,304/829,254
  6. Step 6: Final answer
    x = 3,557,379.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.