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Finding the Third Proportional to 707,580 and 1,480,752

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Solution

The third proportional to 707,580 and 1,480,752 is: 3,098,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,580 : 1,480,752 = 1,480,752 : x
  2. Step 2: Convert to fraction form
    707,580/1,480,752 = 1,480,752/x
  3. Step 3: Cross multiply
    707,580x = 1,480,752 × 1,480,752
  4. Step 4: Simplify right side
    707,580x = 2,192,626,485,504
  5. Step 5: Solve for x
    x = 2,192,626,485,504/707,580
  6. Step 6: Final answer
    x = 3,098,768.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.