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Finding the Third Proportional to 462,320 and 955,648

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Solution

The third proportional to 462,320 and 955,648 is: 1,975,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,320 : 955,648 = 955,648 : x
  2. Step 2: Convert to fraction form
    462,320/955,648 = 955,648/x
  3. Step 3: Cross multiply
    462,320x = 955,648 × 955,648
  4. Step 4: Simplify right side
    462,320x = 913,263,099,904
  5. Step 5: Solve for x
    x = 913,263,099,904/462,320
  6. Step 6: Final answer
    x = 1,975,391.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.