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Finding the Third Proportional to 734,655 and 1,113,071

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Solution

The third proportional to 734,655 and 1,113,071 is: 1,686,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,655 : 1,113,071 = 1,113,071 : x
  2. Step 2: Convert to fraction form
    734,655/1,113,071 = 1,113,071/x
  3. Step 3: Cross multiply
    734,655x = 1,113,071 × 1,113,071
  4. Step 4: Simplify right side
    734,655x = 1,238,927,051,041
  5. Step 5: Solve for x
    x = 1,238,927,051,041/734,655
  6. Step 6: Final answer
    x = 1,686,406.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.