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Finding the Third Proportional to 971,055 and 1,470,075

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Solution

The third proportional to 971,055 and 1,470,075 is: 2,225,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,055 : 1,470,075 = 1,470,075 : x
  2. Step 2: Convert to fraction form
    971,055/1,470,075 = 1,470,075/x
  3. Step 3: Cross multiply
    971,055x = 1,470,075 × 1,470,075
  4. Step 4: Simplify right side
    971,055x = 2,161,120,505,625
  5. Step 5: Solve for x
    x = 2,161,120,505,625/971,055
  6. Step 6: Final answer
    x = 2,225,538.72

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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.