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Finding the Third Proportional to 623,136 and 1,351,248

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Solution

The third proportional to 623,136 and 1,351,248 is: 2,930,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,136 : 1,351,248 = 1,351,248 : x
  2. Step 2: Convert to fraction form
    623,136/1,351,248 = 1,351,248/x
  3. Step 3: Cross multiply
    623,136x = 1,351,248 × 1,351,248
  4. Step 4: Simplify right side
    623,136x = 1,825,871,157,504
  5. Step 5: Solve for x
    x = 1,825,871,157,504/623,136
  6. Step 6: Final answer
    x = 2,930,132.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.