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Finding the Third Proportional to 856,765.50 and 1,823,560.88

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Solution

The third proportional to 856,765.50 and 1,823,560.88 is: 3,881,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,765.50 : 1,823,560.88 = 1,823,560.88 : x
  2. Step 2: Convert to fraction form
    856,765.50/1,823,560.88 = 1,823,560.88/x
  3. Step 3: Cross multiply
    856,765.50x = 1,823,560.88 × 1,823,560.88
  4. Step 4: Simplify right side
    856,765.50x = 3,325,374,264,830.77
  5. Step 5: Solve for x
    x = 3,325,374,264,830.77/856,765.50
  6. Step 6: Final answer
    x = 3,881,312.06

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