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Finding the Third Proportional to 972,579 and 1,562,661

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Solution

The third proportional to 972,579 and 1,562,661 is: 2,510,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,579 : 1,562,661 = 1,562,661 : x
  2. Step 2: Convert to fraction form
    972,579/1,562,661 = 1,562,661/x
  3. Step 3: Cross multiply
    972,579x = 1,562,661 × 1,562,661
  4. Step 4: Simplify right side
    972,579x = 2,441,909,400,921
  5. Step 5: Solve for x
    x = 2,441,909,400,921/972,579
  6. Step 6: Final answer
    x = 2,510,756.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.