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Finding the Third Proportional to 540,405 and 1,175,943

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Solution

The third proportional to 540,405 and 1,175,943 is: 2,558,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,405 : 1,175,943 = 1,175,943 : x
  2. Step 2: Convert to fraction form
    540,405/1,175,943 = 1,175,943/x
  3. Step 3: Cross multiply
    540,405x = 1,175,943 × 1,175,943
  4. Step 4: Simplify right side
    540,405x = 1,382,841,939,249
  5. Step 5: Solve for x
    x = 1,382,841,939,249/540,405
  6. Step 6: Final answer
    x = 2,558,899.23

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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.