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Finding the Third Proportional to 642,906 and 1,400,106

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Solution

The third proportional to 642,906 and 1,400,106 is: 3,049,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,906 : 1,400,106 = 1,400,106 : x
  2. Step 2: Convert to fraction form
    642,906/1,400,106 = 1,400,106/x
  3. Step 3: Cross multiply
    642,906x = 1,400,106 × 1,400,106
  4. Step 4: Simplify right side
    642,906x = 1,960,296,811,236
  5. Step 5: Solve for x
    x = 1,960,296,811,236/642,906
  6. Step 6: Final answer
    x = 3,049,118.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.