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Finding the Third Proportional to 2,692,004 and 5,762,340

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Solution

The third proportional to 2,692,004 and 5,762,340 is: 12,334,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692,004 : 5,762,340 = 5,762,340 : x
  2. Step 2: Convert to fraction form
    2,692,004/5,762,340 = 5,762,340/x
  3. Step 3: Cross multiply
    2,692,004x = 5,762,340 × 5,762,340
  4. Step 4: Simplify right side
    2,692,004x = 33,204,562,275,600
  5. Step 5: Solve for x
    x = 33,204,562,275,600/2,692,004
  6. Step 6: Final answer
    x = 12,334,514.46

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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.