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Finding the Third Proportional to 972,578 and 1,562,658

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Solution

The third proportional to 972,578 and 1,562,658 is: 2,510,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,578 : 1,562,658 = 1,562,658 : x
  2. Step 2: Convert to fraction form
    972,578/1,562,658 = 1,562,658/x
  3. Step 3: Cross multiply
    972,578x = 1,562,658 × 1,562,658
  4. Step 4: Simplify right side
    972,578x = 2,441,900,024,964
  5. Step 5: Solve for x
    x = 2,441,900,024,964/972,578
  6. Step 6: Final answer
    x = 2,510,749.81

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