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Finding the Third Proportional to 619,466.06 and 1,148,814.56

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Solution

The third proportional to 619,466.06 and 1,148,814.56 is: 2,130,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,466.06 : 1,148,814.56 = 1,148,814.56 : x
  2. Step 2: Convert to fraction form
    619,466.06/1,148,814.56 = 1,148,814.56/x
  3. Step 3: Cross multiply
    619,466.06x = 1,148,814.56 × 1,148,814.56
  4. Step 4: Simplify right side
    619,466.06x = 1,319,774,899,012.07
  5. Step 5: Solve for x
    x = 1,319,774,899,012.07/619,466.06
  6. Step 6: Final answer
    x = 2,130,503.96

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.