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Finding the Third Proportional to 619,942 and 957,535

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Solution

The third proportional to 619,942 and 957,535 is: 1,478,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,942 : 957,535 = 957,535 : x
  2. Step 2: Convert to fraction form
    619,942/957,535 = 957,535/x
  3. Step 3: Cross multiply
    619,942x = 957,535 × 957,535
  4. Step 4: Simplify right side
    619,942x = 916,873,276,225
  5. Step 5: Solve for x
    x = 916,873,276,225/619,942
  6. Step 6: Final answer
    x = 1,478,966.22

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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.