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Finding the Third Proportional to 1,460,924 and 3,202,060

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Solution

The third proportional to 1,460,924 and 3,202,060 is: 7,018,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,924 : 3,202,060 = 3,202,060 : x
  2. Step 2: Convert to fraction form
    1,460,924/3,202,060 = 3,202,060/x
  3. Step 3: Cross multiply
    1,460,924x = 3,202,060 × 3,202,060
  4. Step 4: Simplify right side
    1,460,924x = 10,253,188,243,600
  5. Step 5: Solve for x
    x = 10,253,188,243,600/1,460,924
  6. Step 6: Final answer
    x = 7,018,289.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.