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Finding the Third Proportional to 857,964 and 1,829,920

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Solution

The third proportional to 857,964 and 1,829,920 is: 3,902,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,964 : 1,829,920 = 1,829,920 : x
  2. Step 2: Convert to fraction form
    857,964/1,829,920 = 1,829,920/x
  3. Step 3: Cross multiply
    857,964x = 1,829,920 × 1,829,920
  4. Step 4: Simplify right side
    857,964x = 3,348,607,206,400
  5. Step 5: Solve for x
    x = 3,348,607,206,400/857,964
  6. Step 6: Final answer
    x = 3,902,969.36

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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.