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Finding the Third Proportional to 1,378,707 and 1,985,763

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Solution

The third proportional to 1,378,707 and 1,985,763 is: 2,860,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,707 : 1,985,763 = 1,985,763 : x
  2. Step 2: Convert to fraction form
    1,378,707/1,985,763 = 1,985,763/x
  3. Step 3: Cross multiply
    1,378,707x = 1,985,763 × 1,985,763
  4. Step 4: Simplify right side
    1,378,707x = 3,943,254,692,169
  5. Step 5: Solve for x
    x = 3,943,254,692,169/1,378,707
  6. Step 6: Final answer
    x = 2,860,110.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.