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Finding the Third Proportional to 779,075 and 1,173,739

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Solution

The third proportional to 779,075 and 1,173,739 is: 1,768,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,075 : 1,173,739 = 1,173,739 : x
  2. Step 2: Convert to fraction form
    779,075/1,173,739 = 1,173,739/x
  3. Step 3: Cross multiply
    779,075x = 1,173,739 × 1,173,739
  4. Step 4: Simplify right side
    779,075x = 1,377,663,240,121
  5. Step 5: Solve for x
    x = 1,377,663,240,121/779,075
  6. Step 6: Final answer
    x = 1,768,331.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.