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Finding the Third Proportional to 857,170 and 1,866,724

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Solution

The third proportional to 857,170 and 1,866,724 is: 4,065,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,170 : 1,866,724 = 1,866,724 : x
  2. Step 2: Convert to fraction form
    857,170/1,866,724 = 1,866,724/x
  3. Step 3: Cross multiply
    857,170x = 1,866,724 × 1,866,724
  4. Step 4: Simplify right side
    857,170x = 3,484,658,492,176
  5. Step 5: Solve for x
    x = 3,484,658,492,176/857,170
  6. Step 6: Final answer
    x = 4,065,306.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.