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Finding the Third Proportional to 543,642 and 1,153,056

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Solution

The third proportional to 543,642 and 1,153,056 is: 2,445,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,642 : 1,153,056 = 1,153,056 : x
  2. Step 2: Convert to fraction form
    543,642/1,153,056 = 1,153,056/x
  3. Step 3: Cross multiply
    543,642x = 1,153,056 × 1,153,056
  4. Step 4: Simplify right side
    543,642x = 1,329,538,139,136
  5. Step 5: Solve for x
    x = 1,329,538,139,136/543,642
  6. Step 6: Final answer
    x = 2,445,613.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.