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Finding the Third Proportional to 612,104 and 1,312,752

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Solution

The third proportional to 612,104 and 1,312,752 is: 2,815,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,104 : 1,312,752 = 1,312,752 : x
  2. Step 2: Convert to fraction form
    612,104/1,312,752 = 1,312,752/x
  3. Step 3: Cross multiply
    612,104x = 1,312,752 × 1,312,752
  4. Step 4: Simplify right side
    612,104x = 1,723,317,813,504
  5. Step 5: Solve for x
    x = 1,723,317,813,504/612,104
  6. Step 6: Final answer
    x = 2,815,400.35

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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.