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Finding the Third Proportional to 910,648 and 1,336,447

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Solution

The third proportional to 910,648 and 1,336,447 is: 1,961,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,648 : 1,336,447 = 1,336,447 : x
  2. Step 2: Convert to fraction form
    910,648/1,336,447 = 1,336,447/x
  3. Step 3: Cross multiply
    910,648x = 1,336,447 × 1,336,447
  4. Step 4: Simplify right side
    910,648x = 1,786,090,583,809
  5. Step 5: Solve for x
    x = 1,786,090,583,809/910,648
  6. Step 6: Final answer
    x = 1,961,340.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.