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Finding the Third Proportional to 1,583,816 and 3,466,944

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Solution

The third proportional to 1,583,816 and 3,466,944 is: 7,589,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,816 : 3,466,944 = 3,466,944 : x
  2. Step 2: Convert to fraction form
    1,583,816/3,466,944 = 3,466,944/x
  3. Step 3: Cross multiply
    1,583,816x = 3,466,944 × 3,466,944
  4. Step 4: Simplify right side
    1,583,816x = 12,019,700,699,136
  5. Step 5: Solve for x
    x = 12,019,700,699,136/1,583,816
  6. Step 6: Final answer
    x = 7,589,076.45

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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.