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Finding the Third Proportional to 445,152 and 1,049,783

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Solution

The third proportional to 445,152 and 1,049,783 is: 2,475,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,152 : 1,049,783 = 1,049,783 : x
  2. Step 2: Convert to fraction form
    445,152/1,049,783 = 1,049,783/x
  3. Step 3: Cross multiply
    445,152x = 1,049,783 × 1,049,783
  4. Step 4: Simplify right side
    445,152x = 1,102,044,347,089
  5. Step 5: Solve for x
    x = 1,102,044,347,089/445,152
  6. Step 6: Final answer
    x = 2,475,658.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.