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Finding the Third Proportional to 540,316 and 1,175,768

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Solution

The third proportional to 540,316 and 1,175,768 is: 2,558,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,316 : 1,175,768 = 1,175,768 : x
  2. Step 2: Convert to fraction form
    540,316/1,175,768 = 1,175,768/x
  3. Step 3: Cross multiply
    540,316x = 1,175,768 × 1,175,768
  4. Step 4: Simplify right side
    540,316x = 1,382,430,389,824
  5. Step 5: Solve for x
    x = 1,382,430,389,824/540,316
  6. Step 6: Final answer
    x = 2,558,559.05

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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.