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Finding the Third Proportional to 963,830 and 2,036,164

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Solution

The third proportional to 963,830 and 2,036,164 is: 4,301,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,830 : 2,036,164 = 2,036,164 : x
  2. Step 2: Convert to fraction form
    963,830/2,036,164 = 2,036,164/x
  3. Step 3: Cross multiply
    963,830x = 2,036,164 × 2,036,164
  4. Step 4: Simplify right side
    963,830x = 4,145,963,834,896
  5. Step 5: Solve for x
    x = 4,145,963,834,896/963,830
  6. Step 6: Final answer
    x = 4,301,550.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.