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Finding the Third Proportional to 1,583,946 and 3,241,703

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Solution

The third proportional to 1,583,946 and 3,241,703 is: 6,634,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,946 : 3,241,703 = 3,241,703 : x
  2. Step 2: Convert to fraction form
    1,583,946/3,241,703 = 3,241,703/x
  3. Step 3: Cross multiply
    1,583,946x = 3,241,703 × 3,241,703
  4. Step 4: Simplify right side
    1,583,946x = 10,508,638,340,209
  5. Step 5: Solve for x
    x = 10,508,638,340,209/1,583,946
  6. Step 6: Final answer
    x = 6,634,467.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.