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Finding the Third Proportional to 526,144 and 1,136,361

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Solution

The third proportional to 526,144 and 1,136,361 is: 2,454,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,144 : 1,136,361 = 1,136,361 : x
  2. Step 2: Convert to fraction form
    526,144/1,136,361 = 1,136,361/x
  3. Step 3: Cross multiply
    526,144x = 1,136,361 × 1,136,361
  4. Step 4: Simplify right side
    526,144x = 1,291,316,322,321
  5. Step 5: Solve for x
    x = 1,291,316,322,321/526,144
  6. Step 6: Final answer
    x = 2,454,302.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.