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Finding the Third Proportional to 957,209 and 1,481,970

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Solution

The third proportional to 957,209 and 1,481,970 is: 2,294,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,209 : 1,481,970 = 1,481,970 : x
  2. Step 2: Convert to fraction form
    957,209/1,481,970 = 1,481,970/x
  3. Step 3: Cross multiply
    957,209x = 1,481,970 × 1,481,970
  4. Step 4: Simplify right side
    957,209x = 2,196,235,080,900
  5. Step 5: Solve for x
    x = 2,196,235,080,900/957,209
  6. Step 6: Final answer
    x = 2,294,415.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.