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Finding the Third Proportional to 740,546 and 1,533,604

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Solution

The third proportional to 740,546 and 1,533,604 is: 3,175,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,546 : 1,533,604 = 1,533,604 : x
  2. Step 2: Convert to fraction form
    740,546/1,533,604 = 1,533,604/x
  3. Step 3: Cross multiply
    740,546x = 1,533,604 × 1,533,604
  4. Step 4: Simplify right side
    740,546x = 2,351,941,228,816
  5. Step 5: Solve for x
    x = 2,351,941,228,816/740,546
  6. Step 6: Final answer
    x = 3,175,955.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.