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Finding the Third Proportional to 646,294 and 1,323,932

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Solution

The third proportional to 646,294 and 1,323,932 is: 2,712,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,294 : 1,323,932 = 1,323,932 : x
  2. Step 2: Convert to fraction form
    646,294/1,323,932 = 1,323,932/x
  3. Step 3: Cross multiply
    646,294x = 1,323,932 × 1,323,932
  4. Step 4: Simplify right side
    646,294x = 1,752,795,940,624
  5. Step 5: Solve for x
    x = 1,752,795,940,624/646,294
  6. Step 6: Final answer
    x = 2,712,072.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.