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Finding the Third Proportional to 540,303 and 1,175,741

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Solution

The third proportional to 540,303 and 1,175,741 is: 2,558,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,303 : 1,175,741 = 1,175,741 : x
  2. Step 2: Convert to fraction form
    540,303/1,175,741 = 1,175,741/x
  3. Step 3: Cross multiply
    540,303x = 1,175,741 × 1,175,741
  4. Step 4: Simplify right side
    540,303x = 1,382,366,899,081
  5. Step 5: Solve for x
    x = 1,382,366,899,081/540,303
  6. Step 6: Final answer
    x = 2,558,503.10

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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.