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Finding the Third Proportional to 4,342,948 and 6,384,678

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Solution

The third proportional to 4,342,948 and 6,384,678 is: 9,386,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342,948 : 6,384,678 = 6,384,678 : x
  2. Step 2: Convert to fraction form
    4,342,948/6,384,678 = 6,384,678/x
  3. Step 3: Cross multiply
    4,342,948x = 6,384,678 × 6,384,678
  4. Step 4: Simplify right side
    4,342,948x = 40,764,113,163,684
  5. Step 5: Solve for x
    x = 40,764,113,163,684/4,342,948
  6. Step 6: Final answer
    x = 9,386,277.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.