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Finding the Third Proportional to 1,585,335 and 3,473,659.50

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Solution

The third proportional to 1,585,335 and 3,473,659.50 is: 7,611,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,335 : 3,473,659.50 = 3,473,659.50 : x
  2. Step 2: Convert to fraction form
    1,585,335/3,473,659.50 = 3,473,659.50/x
  3. Step 3: Cross multiply
    1,585,335x = 3,473,659.50 × 3,473,659.50
  4. Step 4: Simplify right side
    1,585,335x = 12,066,310,321,940.25
  5. Step 5: Solve for x
    x = 12,066,310,321,940.25/1,585,335
  6. Step 6: Final answer
    x = 7,611,205.41

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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.