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Finding the Third Proportional to 686,432 and 1,050,075

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Solution

The third proportional to 686,432 and 1,050,075 is: 1,606,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,432 : 1,050,075 = 1,050,075 : x
  2. Step 2: Convert to fraction form
    686,432/1,050,075 = 1,050,075/x
  3. Step 3: Cross multiply
    686,432x = 1,050,075 × 1,050,075
  4. Step 4: Simplify right side
    686,432x = 1,102,657,505,625
  5. Step 5: Solve for x
    x = 1,102,657,505,625/686,432
  6. Step 6: Final answer
    x = 1,606,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.