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Finding the Third Proportional to 830,762 and 1,815,286

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Solution

The third proportional to 830,762 and 1,815,286 is: 3,966,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,762 : 1,815,286 = 1,815,286 : x
  2. Step 2: Convert to fraction form
    830,762/1,815,286 = 1,815,286/x
  3. Step 3: Cross multiply
    830,762x = 1,815,286 × 1,815,286
  4. Step 4: Simplify right side
    830,762x = 3,295,263,261,796
  5. Step 5: Solve for x
    x = 3,295,263,261,796/830,762
  6. Step 6: Final answer
    x = 3,966,555.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.