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Finding the Third Proportional to 877,760 and 1,310,898

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Solution

The third proportional to 877,760 and 1,310,898 is: 1,957,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,760 : 1,310,898 = 1,310,898 : x
  2. Step 2: Convert to fraction form
    877,760/1,310,898 = 1,310,898/x
  3. Step 3: Cross multiply
    877,760x = 1,310,898 × 1,310,898
  4. Step 4: Simplify right side
    877,760x = 1,718,453,566,404
  5. Step 5: Solve for x
    x = 1,718,453,566,404/877,760
  6. Step 6: Final answer
    x = 1,957,771.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.