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Finding the Third Proportional to 699,030 and 1,512,310

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Solution

The third proportional to 699,030 and 1,512,310 is: 3,271,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,030 : 1,512,310 = 1,512,310 : x
  2. Step 2: Convert to fraction form
    699,030/1,512,310 = 1,512,310/x
  3. Step 3: Cross multiply
    699,030x = 1,512,310 × 1,512,310
  4. Step 4: Simplify right side
    699,030x = 2,287,081,536,100
  5. Step 5: Solve for x
    x = 2,287,081,536,100/699,030
  6. Step 6: Final answer
    x = 3,271,793.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.