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Finding the Third Proportional to 735,412 and 1,518,056

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Solution

The third proportional to 735,412 and 1,518,056 is: 3,133,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,412 : 1,518,056 = 1,518,056 : x
  2. Step 2: Convert to fraction form
    735,412/1,518,056 = 1,518,056/x
  3. Step 3: Cross multiply
    735,412x = 1,518,056 × 1,518,056
  4. Step 4: Simplify right side
    735,412x = 2,304,494,019,136
  5. Step 5: Solve for x
    x = 2,304,494,019,136/735,412
  6. Step 6: Final answer
    x = 3,133,609.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.