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Finding the Third Proportional to 611,004 and 1,341,544

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Solution

The third proportional to 611,004 and 1,341,544 is: 2,945,545.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,004 : 1,341,544 = 1,341,544 : x
  2. Step 2: Convert to fraction form
    611,004/1,341,544 = 1,341,544/x
  3. Step 3: Cross multiply
    611,004x = 1,341,544 × 1,341,544
  4. Step 4: Simplify right side
    611,004x = 1,799,740,303,936
  5. Step 5: Solve for x
    x = 1,799,740,303,936/611,004
  6. Step 6: Final answer
    x = 2,945,545.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.