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Finding the Third Proportional to 841,962 and 1,803,480

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Solution

The third proportional to 841,962 and 1,803,480 is: 3,863,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,962 : 1,803,480 = 1,803,480 : x
  2. Step 2: Convert to fraction form
    841,962/1,803,480 = 1,803,480/x
  3. Step 3: Cross multiply
    841,962x = 1,803,480 × 1,803,480
  4. Step 4: Simplify right side
    841,962x = 3,252,540,110,400
  5. Step 5: Solve for x
    x = 3,252,540,110,400/841,962
  6. Step 6: Final answer
    x = 3,863,048.58

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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.