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Finding the Third Proportional to 1,289,963 and 3,012,283

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Solution

The third proportional to 1,289,963 and 3,012,283 is: 7,034,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,963 : 3,012,283 = 3,012,283 : x
  2. Step 2: Convert to fraction form
    1,289,963/3,012,283 = 3,012,283/x
  3. Step 3: Cross multiply
    1,289,963x = 3,012,283 × 3,012,283
  4. Step 4: Simplify right side
    1,289,963x = 9,073,848,872,089
  5. Step 5: Solve for x
    x = 9,073,848,872,089/1,289,963
  6. Step 6: Final answer
    x = 7,034,193.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.