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Finding the Third Proportional to 484,028 and 1,052,032

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Solution

The third proportional to 484,028 and 1,052,032 is: 2,286,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,028 : 1,052,032 = 1,052,032 : x
  2. Step 2: Convert to fraction form
    484,028/1,052,032 = 1,052,032/x
  3. Step 3: Cross multiply
    484,028x = 1,052,032 × 1,052,032
  4. Step 4: Simplify right side
    484,028x = 1,106,771,329,024
  5. Step 5: Solve for x
    x = 1,106,771,329,024/484,028
  6. Step 6: Final answer
    x = 2,286,585.34

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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.