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Finding the Third Proportional to 1,245,972 and 1,893,582

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Solution

The third proportional to 1,245,972 and 1,893,582 is: 2,877,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,972 : 1,893,582 = 1,893,582 : x
  2. Step 2: Convert to fraction form
    1,245,972/1,893,582 = 1,893,582/x
  3. Step 3: Cross multiply
    1,245,972x = 1,893,582 × 1,893,582
  4. Step 4: Simplify right side
    1,245,972x = 3,585,652,790,724
  5. Step 5: Solve for x
    x = 3,585,652,790,724/1,245,972
  6. Step 6: Final answer
    x = 2,877,795.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.