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Finding the Third Proportional to 929,077 and 1,421,388

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Solution

The third proportional to 929,077 and 1,421,388 is: 2,174,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,077 : 1,421,388 = 1,421,388 : x
  2. Step 2: Convert to fraction form
    929,077/1,421,388 = 1,421,388/x
  3. Step 3: Cross multiply
    929,077x = 1,421,388 × 1,421,388
  4. Step 4: Simplify right side
    929,077x = 2,020,343,846,544
  5. Step 5: Solve for x
    x = 2,020,343,846,544/929,077
  6. Step 6: Final answer
    x = 2,174,570.94

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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.