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Finding the Third Proportional to 829,156.50 and 1,798,281

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Solution

The third proportional to 829,156.50 and 1,798,281 is: 3,900,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,156.50 : 1,798,281 = 1,798,281 : x
  2. Step 2: Convert to fraction form
    829,156.50/1,798,281 = 1,798,281/x
  3. Step 3: Cross multiply
    829,156.50x = 1,798,281 × 1,798,281
  4. Step 4: Simplify right side
    829,156.50x = 3,233,814,554,961
  5. Step 5: Solve for x
    x = 3,233,814,554,961/829,156.50
  6. Step 6: Final answer
    x = 3,900,125.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.