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Finding the Third Proportional to 638,136 and 1,001,186

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Solution

The third proportional to 638,136 and 1,001,186 is: 1,570,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,136 : 1,001,186 = 1,001,186 : x
  2. Step 2: Convert to fraction form
    638,136/1,001,186 = 1,001,186/x
  3. Step 3: Cross multiply
    638,136x = 1,001,186 × 1,001,186
  4. Step 4: Simplify right side
    638,136x = 1,002,373,406,596
  5. Step 5: Solve for x
    x = 1,002,373,406,596/638,136
  6. Step 6: Final answer
    x = 1,570,783.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.