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Finding the Third Proportional to 1,923,501 and 4,180,363

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Solution

The third proportional to 1,923,501 and 4,180,363 is: 9,085,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,501 : 4,180,363 = 4,180,363 : x
  2. Step 2: Convert to fraction form
    1,923,501/4,180,363 = 4,180,363/x
  3. Step 3: Cross multiply
    1,923,501x = 4,180,363 × 4,180,363
  4. Step 4: Simplify right side
    1,923,501x = 17,475,434,811,769
  5. Step 5: Solve for x
    x = 17,475,434,811,769/1,923,501
  6. Step 6: Final answer
    x = 9,085,222.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.