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Finding the Third Proportional to 930,939 and 1,423,485

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Solution

The third proportional to 930,939 and 1,423,485 is: 2,176,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,939 : 1,423,485 = 1,423,485 : x
  2. Step 2: Convert to fraction form
    930,939/1,423,485 = 1,423,485/x
  3. Step 3: Cross multiply
    930,939x = 1,423,485 × 1,423,485
  4. Step 4: Simplify right side
    930,939x = 2,026,309,545,225
  5. Step 5: Solve for x
    x = 2,026,309,545,225/930,939
  6. Step 6: Final answer
    x = 2,176,629.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.