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Finding the Third Proportional to 774,114 and 1,138,410

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Solution

The third proportional to 774,114 and 1,138,410 is: 1,674,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,114 : 1,138,410 = 1,138,410 : x
  2. Step 2: Convert to fraction form
    774,114/1,138,410 = 1,138,410/x
  3. Step 3: Cross multiply
    774,114x = 1,138,410 × 1,138,410
  4. Step 4: Simplify right side
    774,114x = 1,295,977,328,100
  5. Step 5: Solve for x
    x = 1,295,977,328,100/774,114
  6. Step 6: Final answer
    x = 1,674,142.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.