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Finding the Third Proportional to 948,819 and 2,042,709

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Solution

The third proportional to 948,819 and 2,042,709 is: 4,397,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,819 : 2,042,709 = 2,042,709 : x
  2. Step 2: Convert to fraction form
    948,819/2,042,709 = 2,042,709/x
  3. Step 3: Cross multiply
    948,819x = 2,042,709 × 2,042,709
  4. Step 4: Simplify right side
    948,819x = 4,172,660,058,681
  5. Step 5: Solve for x
    x = 4,172,660,058,681/948,819
  6. Step 6: Final answer
    x = 4,397,740.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.