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Finding the Third Proportional to 1,182,322 and 2,448,724

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Solution

The third proportional to 1,182,322 and 2,448,724 is: 5,071,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,322 : 2,448,724 = 2,448,724 : x
  2. Step 2: Convert to fraction form
    1,182,322/2,448,724 = 2,448,724/x
  3. Step 3: Cross multiply
    1,182,322x = 2,448,724 × 2,448,724
  4. Step 4: Simplify right side
    1,182,322x = 5,996,249,228,176
  5. Step 5: Solve for x
    x = 5,996,249,228,176/1,182,322
  6. Step 6: Final answer
    x = 5,071,587.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.