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Finding the Third Proportional to 612,742 and 1,323,873

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Solution

The third proportional to 612,742 and 1,323,873 is: 2,860,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,742 : 1,323,873 = 1,323,873 : x
  2. Step 2: Convert to fraction form
    612,742/1,323,873 = 1,323,873/x
  3. Step 3: Cross multiply
    612,742x = 1,323,873 × 1,323,873
  4. Step 4: Simplify right side
    612,742x = 1,752,639,720,129
  5. Step 5: Solve for x
    x = 1,752,639,720,129/612,742
  6. Step 6: Final answer
    x = 2,860,322.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.