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Finding the Third Proportional to 1,319,148 and 1,982,007

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Solution

The third proportional to 1,319,148 and 1,982,007 is: 2,977,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,148 : 1,982,007 = 1,982,007 : x
  2. Step 2: Convert to fraction form
    1,319,148/1,982,007 = 1,982,007/x
  3. Step 3: Cross multiply
    1,319,148x = 1,982,007 × 1,982,007
  4. Step 4: Simplify right side
    1,319,148x = 3,928,351,748,049
  5. Step 5: Solve for x
    x = 3,928,351,748,049/1,319,148
  6. Step 6: Final answer
    x = 2,977,946.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.