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Finding the Third Proportional to 526,169 and 1,136,411

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Solution

The third proportional to 526,169 and 1,136,411 is: 2,454,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,169 : 1,136,411 = 1,136,411 : x
  2. Step 2: Convert to fraction form
    526,169/1,136,411 = 1,136,411/x
  3. Step 3: Cross multiply
    526,169x = 1,136,411 × 1,136,411
  4. Step 4: Simplify right side
    526,169x = 1,291,429,960,921
  5. Step 5: Solve for x
    x = 1,291,429,960,921/526,169
  6. Step 6: Final answer
    x = 2,454,401.46

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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.