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Finding the Third Proportional to 4,757,948 and 6,782,628

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Solution

The third proportional to 4,757,948 and 6,782,628 is: 9,668,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,948 : 6,782,628 = 6,782,628 : x
  2. Step 2: Convert to fraction form
    4,757,948/6,782,628 = 6,782,628/x
  3. Step 3: Cross multiply
    4,757,948x = 6,782,628 × 6,782,628
  4. Step 4: Simplify right side
    4,757,948x = 46,004,042,586,384
  5. Step 5: Solve for x
    x = 46,004,042,586,384/4,757,948
  6. Step 6: Final answer
    x = 9,668,883.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.