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Finding the Third Proportional to 623,183 and 1,017,501

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Solution

The third proportional to 623,183 and 1,017,501 is: 1,661,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,183 : 1,017,501 = 1,017,501 : x
  2. Step 2: Convert to fraction form
    623,183/1,017,501 = 1,017,501/x
  3. Step 3: Cross multiply
    623,183x = 1,017,501 × 1,017,501
  4. Step 4: Simplify right side
    623,183x = 1,035,308,285,001
  5. Step 5: Solve for x
    x = 1,035,308,285,001/623,183
  6. Step 6: Final answer
    x = 1,661,323.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.