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Finding the Third Proportional to 540,409 and 1,175,951

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Solution

The third proportional to 540,409 and 1,175,951 is: 2,558,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,409 : 1,175,951 = 1,175,951 : x
  2. Step 2: Convert to fraction form
    540,409/1,175,951 = 1,175,951/x
  3. Step 3: Cross multiply
    540,409x = 1,175,951 × 1,175,951
  4. Step 4: Simplify right side
    540,409x = 1,382,860,754,401
  5. Step 5: Solve for x
    x = 1,382,860,754,401/540,409
  6. Step 6: Final answer
    x = 2,558,915.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.