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Finding the Third Proportional to 1,598,064 and 3,462,240

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Solution

The third proportional to 1,598,064 and 3,462,240 is: 7,501,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,064 : 3,462,240 = 3,462,240 : x
  2. Step 2: Convert to fraction form
    1,598,064/3,462,240 = 3,462,240/x
  3. Step 3: Cross multiply
    1,598,064x = 3,462,240 × 3,462,240
  4. Step 4: Simplify right side
    1,598,064x = 11,987,105,817,600
  5. Step 5: Solve for x
    x = 11,987,105,817,600/1,598,064
  6. Step 6: Final answer
    x = 7,501,017.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.