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Finding the Third Proportional to 462,944 and 1,014,520

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Solution

The third proportional to 462,944 and 1,014,520 is: 2,223,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,944 : 1,014,520 = 1,014,520 : x
  2. Step 2: Convert to fraction form
    462,944/1,014,520 = 1,014,520/x
  3. Step 3: Cross multiply
    462,944x = 1,014,520 × 1,014,520
  4. Step 4: Simplify right side
    462,944x = 1,029,250,830,400
  5. Step 5: Solve for x
    x = 1,029,250,830,400/462,944
  6. Step 6: Final answer
    x = 2,223,272.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.