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Finding the Third Proportional to 742,576 and 1,195,656

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Solution

The third proportional to 742,576 and 1,195,656 is: 1,925,181.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,576 : 1,195,656 = 1,195,656 : x
  2. Step 2: Convert to fraction form
    742,576/1,195,656 = 1,195,656/x
  3. Step 3: Cross multiply
    742,576x = 1,195,656 × 1,195,656
  4. Step 4: Simplify right side
    742,576x = 1,429,593,270,336
  5. Step 5: Solve for x
    x = 1,429,593,270,336/742,576
  6. Step 6: Final answer
    x = 1,925,181.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.