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Finding the Third Proportional to 707,760 and 1,539,936

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Solution

The third proportional to 707,760 and 1,539,936 is: 3,350,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,760 : 1,539,936 = 1,539,936 : x
  2. Step 2: Convert to fraction form
    707,760/1,539,936 = 1,539,936/x
  3. Step 3: Cross multiply
    707,760x = 1,539,936 × 1,539,936
  4. Step 4: Simplify right side
    707,760x = 2,371,402,884,096
  5. Step 5: Solve for x
    x = 2,371,402,884,096/707,760
  6. Step 6: Final answer
    x = 3,350,574.89

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Why These Related Problems?

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