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Finding the Third Proportional to 874,836 and 1,370,574

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Solution

The third proportional to 874,836 and 1,370,574 is: 2,147,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,836 : 1,370,574 = 1,370,574 : x
  2. Step 2: Convert to fraction form
    874,836/1,370,574 = 1,370,574/x
  3. Step 3: Cross multiply
    874,836x = 1,370,574 × 1,370,574
  4. Step 4: Simplify right side
    874,836x = 1,878,473,089,476
  5. Step 5: Solve for x
    x = 1,878,473,089,476/874,836
  6. Step 6: Final answer
    x = 2,147,228.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.