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Finding the Third Proportional to 444,612 and 975,639

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Solution

The third proportional to 444,612 and 975,639 is: 2,140,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,612 : 975,639 = 975,639 : x
  2. Step 2: Convert to fraction form
    444,612/975,639 = 975,639/x
  3. Step 3: Cross multiply
    444,612x = 975,639 × 975,639
  4. Step 4: Simplify right side
    444,612x = 951,871,458,321
  5. Step 5: Solve for x
    x = 951,871,458,321/444,612
  6. Step 6: Final answer
    x = 2,140,903.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.