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Finding the Third Proportional to 673,328 and 1,441,237

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Solution

The third proportional to 673,328 and 1,441,237 is: 3,084,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,328 : 1,441,237 = 1,441,237 : x
  2. Step 2: Convert to fraction form
    673,328/1,441,237 = 1,441,237/x
  3. Step 3: Cross multiply
    673,328x = 1,441,237 × 1,441,237
  4. Step 4: Simplify right side
    673,328x = 2,077,164,090,169
  5. Step 5: Solve for x
    x = 2,077,164,090,169/673,328
  6. Step 6: Final answer
    x = 3,084,921.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.