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Finding the Third Proportional to 960,282 and 2,101,356

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Solution

The third proportional to 960,282 and 2,101,356 is: 4,598,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,282 : 2,101,356 = 2,101,356 : x
  2. Step 2: Convert to fraction form
    960,282/2,101,356 = 2,101,356/x
  3. Step 3: Cross multiply
    960,282x = 2,101,356 × 2,101,356
  4. Step 4: Simplify right side
    960,282x = 4,415,697,038,736
  5. Step 5: Solve for x
    x = 4,415,697,038,736/960,282
  6. Step 6: Final answer
    x = 4,598,333.65

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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.