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Finding the Third Proportional to 745,296 and 1,616,640

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Solution

The third proportional to 745,296 and 1,616,640 is: 3,506,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,296 : 1,616,640 = 1,616,640 : x
  2. Step 2: Convert to fraction form
    745,296/1,616,640 = 1,616,640/x
  3. Step 3: Cross multiply
    745,296x = 1,616,640 × 1,616,640
  4. Step 4: Simplify right side
    745,296x = 2,613,524,889,600
  5. Step 5: Solve for x
    x = 2,613,524,889,600/745,296
  6. Step 6: Final answer
    x = 3,506,693.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.