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Finding the Third Proportional to 614,444 and 1,271,516

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Solution

The third proportional to 614,444 and 1,271,516 is: 2,631,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,444 : 1,271,516 = 1,271,516 : x
  2. Step 2: Convert to fraction form
    614,444/1,271,516 = 1,271,516/x
  3. Step 3: Cross multiply
    614,444x = 1,271,516 × 1,271,516
  4. Step 4: Simplify right side
    614,444x = 1,616,752,938,256
  5. Step 5: Solve for x
    x = 1,616,752,938,256/614,444
  6. Step 6: Final answer
    x = 2,631,245.38

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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.