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Finding the Third Proportional to 857,440 and 1,828,766

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Solution

The third proportional to 857,440 and 1,828,766 is: 3,900,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,440 : 1,828,766 = 1,828,766 : x
  2. Step 2: Convert to fraction form
    857,440/1,828,766 = 1,828,766/x
  3. Step 3: Cross multiply
    857,440x = 1,828,766 × 1,828,766
  4. Step 4: Simplify right side
    857,440x = 3,344,385,082,756
  5. Step 5: Solve for x
    x = 3,344,385,082,756/857,440
  6. Step 6: Final answer
    x = 3,900,430.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.