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Finding the Third Proportional to 526,141 and 1,136,355

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Solution

The third proportional to 526,141 and 1,136,355 is: 2,454,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,141 : 1,136,355 = 1,136,355 : x
  2. Step 2: Convert to fraction form
    526,141/1,136,355 = 1,136,355/x
  3. Step 3: Cross multiply
    526,141x = 1,136,355 × 1,136,355
  4. Step 4: Simplify right side
    526,141x = 1,291,302,686,025
  5. Step 5: Solve for x
    x = 1,291,302,686,025/526,141
  6. Step 6: Final answer
    x = 2,454,290.17

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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.