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Finding the Third Proportional to 830,740 and 1,290,174

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Solution

The third proportional to 830,740 and 1,290,174 is: 2,003,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,740 : 1,290,174 = 1,290,174 : x
  2. Step 2: Convert to fraction form
    830,740/1,290,174 = 1,290,174/x
  3. Step 3: Cross multiply
    830,740x = 1,290,174 × 1,290,174
  4. Step 4: Simplify right side
    830,740x = 1,664,548,950,276
  5. Step 5: Solve for x
    x = 1,664,548,950,276/830,740
  6. Step 6: Final answer
    x = 2,003,694.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.