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Finding the Third Proportional to 857,730 and 1,864,860

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Solution

The third proportional to 857,730 and 1,864,860 is: 4,054,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,730 : 1,864,860 = 1,864,860 : x
  2. Step 2: Convert to fraction form
    857,730/1,864,860 = 1,864,860/x
  3. Step 3: Cross multiply
    857,730x = 1,864,860 × 1,864,860
  4. Step 4: Simplify right side
    857,730x = 3,477,702,819,600
  5. Step 5: Solve for x
    x = 3,477,702,819,600/857,730
  6. Step 6: Final answer
    x = 4,054,542.59

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