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Finding the Third Proportional to 484,074 and 1,052,106

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Solution

The third proportional to 484,074 and 1,052,106 is: 2,286,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,074 : 1,052,106 = 1,052,106 : x
  2. Step 2: Convert to fraction form
    484,074/1,052,106 = 1,052,106/x
  3. Step 3: Cross multiply
    484,074x = 1,052,106 × 1,052,106
  4. Step 4: Simplify right side
    484,074x = 1,106,927,035,236
  5. Step 5: Solve for x
    x = 1,106,927,035,236/484,074
  6. Step 6: Final answer
    x = 2,286,689.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.