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Finding the Third Proportional to 740,048 and 1,618,498

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Solution

The third proportional to 740,048 and 1,618,498 is: 3,539,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,048 : 1,618,498 = 1,618,498 : x
  2. Step 2: Convert to fraction form
    740,048/1,618,498 = 1,618,498/x
  3. Step 3: Cross multiply
    740,048x = 1,618,498 × 1,618,498
  4. Step 4: Simplify right side
    740,048x = 2,619,535,776,004
  5. Step 5: Solve for x
    x = 2,619,535,776,004/740,048
  6. Step 6: Final answer
    x = 3,539,683.61

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Why These Related Problems?

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