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Finding the Third Proportional to 847,708 and 1,273,458

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Solution

The third proportional to 847,708 and 1,273,458 is: 1,913,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,708 : 1,273,458 = 1,273,458 : x
  2. Step 2: Convert to fraction form
    847,708/1,273,458 = 1,273,458/x
  3. Step 3: Cross multiply
    847,708x = 1,273,458 × 1,273,458
  4. Step 4: Simplify right side
    847,708x = 1,621,695,277,764
  5. Step 5: Solve for x
    x = 1,621,695,277,764/847,708
  6. Step 6: Final answer
    x = 1,913,035.24

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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.