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Finding the Third Proportional to 701,410 and 1,129,570

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Solution

The third proportional to 701,410 and 1,129,570 is: 1,819,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,410 : 1,129,570 = 1,129,570 : x
  2. Step 2: Convert to fraction form
    701,410/1,129,570 = 1,129,570/x
  3. Step 3: Cross multiply
    701,410x = 1,129,570 × 1,129,570
  4. Step 4: Simplify right side
    701,410x = 1,275,928,384,900
  5. Step 5: Solve for x
    x = 1,275,928,384,900/701,410
  6. Step 6: Final answer
    x = 1,819,090.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.