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Finding the Third Proportional to 691,386.50 and 1,037,097.75

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Solution

The third proportional to 691,386.50 and 1,037,097.75 is: 1,555,673.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,386.50 : 1,037,097.75 = 1,037,097.75 : x
  2. Step 2: Convert to fraction form
    691,386.50/1,037,097.75 = 1,037,097.75/x
  3. Step 3: Cross multiply
    691,386.50x = 1,037,097.75 × 1,037,097.75
  4. Step 4: Simplify right side
    691,386.50x = 1,075,571,743,055.06
  5. Step 5: Solve for x
    x = 1,075,571,743,055.06/691,386.50
  6. Step 6: Final answer
    x = 1,555,673.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.