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Finding the Third Proportional to 1,388,678 and 2,860,428

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Solution

The third proportional to 1,388,678 and 2,860,428 is: 5,891,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,678 : 2,860,428 = 2,860,428 : x
  2. Step 2: Convert to fraction form
    1,388,678/2,860,428 = 2,860,428/x
  3. Step 3: Cross multiply
    1,388,678x = 2,860,428 × 2,860,428
  4. Step 4: Simplify right side
    1,388,678x = 8,182,048,343,184
  5. Step 5: Solve for x
    x = 8,182,048,343,184/1,388,678
  6. Step 6: Final answer
    x = 5,891,969.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.