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Finding the Third Proportional to 619,940 and 957,534

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Solution

The third proportional to 619,940 and 957,534 is: 1,478,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,940 : 957,534 = 957,534 : x
  2. Step 2: Convert to fraction form
    619,940/957,534 = 957,534/x
  3. Step 3: Cross multiply
    619,940x = 957,534 × 957,534
  4. Step 4: Simplify right side
    619,940x = 916,871,361,156
  5. Step 5: Solve for x
    x = 916,871,361,156/619,940
  6. Step 6: Final answer
    x = 1,478,967.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.