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Finding the Third Proportional to 1,265,004 and 2,710,800

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Solution

The third proportional to 1,265,004 and 2,710,800 is: 5,809,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,004 : 2,710,800 = 2,710,800 : x
  2. Step 2: Convert to fraction form
    1,265,004/2,710,800 = 2,710,800/x
  3. Step 3: Cross multiply
    1,265,004x = 2,710,800 × 2,710,800
  4. Step 4: Simplify right side
    1,265,004x = 7,348,436,640,000
  5. Step 5: Solve for x
    x = 7,348,436,640,000/1,265,004
  6. Step 6: Final answer
    x = 5,809,022.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.