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Finding the Third Proportional to 1,306,075.50 and 2,770,182

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Solution

The third proportional to 1,306,075.50 and 2,770,182 is: 5,875,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,075.50 : 2,770,182 = 2,770,182 : x
  2. Step 2: Convert to fraction form
    1,306,075.50/2,770,182 = 2,770,182/x
  3. Step 3: Cross multiply
    1,306,075.50x = 2,770,182 × 2,770,182
  4. Step 4: Simplify right side
    1,306,075.50x = 7,673,908,313,124
  5. Step 5: Solve for x
    x = 7,673,908,313,124/1,306,075.50
  6. Step 6: Final answer
    x = 5,875,547.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.