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Finding the Third Proportional to 746,353 and 1,118,356

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Solution

The third proportional to 746,353 and 1,118,356 is: 1,675,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,353 : 1,118,356 = 1,118,356 : x
  2. Step 2: Convert to fraction form
    746,353/1,118,356 = 1,118,356/x
  3. Step 3: Cross multiply
    746,353x = 1,118,356 × 1,118,356
  4. Step 4: Simplify right side
    746,353x = 1,250,720,142,736
  5. Step 5: Solve for x
    x = 1,250,720,142,736/746,353
  6. Step 6: Final answer
    x = 1,675,775.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.