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Finding the Third Proportional to 842,040 and 1,606,480

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Solution

The third proportional to 842,040 and 1,606,480 is: 3,064,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,040 : 1,606,480 = 1,606,480 : x
  2. Step 2: Convert to fraction form
    842,040/1,606,480 = 1,606,480/x
  3. Step 3: Cross multiply
    842,040x = 1,606,480 × 1,606,480
  4. Step 4: Simplify right side
    842,040x = 2,580,777,990,400
  5. Step 5: Solve for x
    x = 2,580,777,990,400/842,040
  6. Step 6: Final answer
    x = 3,064,911.39

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.