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Finding the Third Proportional to 525,146 and 1,125,022

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Solution

The third proportional to 525,146 and 1,125,022 is: 2,410,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,146 : 1,125,022 = 1,125,022 : x
  2. Step 2: Convert to fraction form
    525,146/1,125,022 = 1,125,022/x
  3. Step 3: Cross multiply
    525,146x = 1,125,022 × 1,125,022
  4. Step 4: Simplify right side
    525,146x = 1,265,674,500,484
  5. Step 5: Solve for x
    x = 1,265,674,500,484/525,146
  6. Step 6: Final answer
    x = 2,410,138.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.