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Finding the Third Proportional to 655,101 and 1,388,943

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Solution

The third proportional to 655,101 and 1,388,943 is: 2,944,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,101 : 1,388,943 = 1,388,943 : x
  2. Step 2: Convert to fraction form
    655,101/1,388,943 = 1,388,943/x
  3. Step 3: Cross multiply
    655,101x = 1,388,943 × 1,388,943
  4. Step 4: Simplify right side
    655,101x = 1,929,162,657,249
  5. Step 5: Solve for x
    x = 1,929,162,657,249/655,101
  6. Step 6: Final answer
    x = 2,944,832.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.