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Finding the Third Proportional to 1,601,043 and 3,430,902

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Solution

The third proportional to 1,601,043 and 3,430,902 is: 7,352,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,043 : 3,430,902 = 3,430,902 : x
  2. Step 2: Convert to fraction form
    1,601,043/3,430,902 = 3,430,902/x
  3. Step 3: Cross multiply
    1,601,043x = 3,430,902 × 3,430,902
  4. Step 4: Simplify right side
    1,601,043x = 11,771,088,533,604
  5. Step 5: Solve for x
    x = 11,771,088,533,604/1,601,043
  6. Step 6: Final answer
    x = 7,352,137.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.