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Finding the Third Proportional to 651,105 and 1,352,106

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Solution

The third proportional to 651,105 and 1,352,106 is: 2,807,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,105 : 1,352,106 = 1,352,106 : x
  2. Step 2: Convert to fraction form
    651,105/1,352,106 = 1,352,106/x
  3. Step 3: Cross multiply
    651,105x = 1,352,106 × 1,352,106
  4. Step 4: Simplify right side
    651,105x = 1,828,190,635,236
  5. Step 5: Solve for x
    x = 1,828,190,635,236/651,105
  6. Step 6: Final answer
    x = 2,807,827.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.