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Finding the Third Proportional to 1,601,014 and 2,476,335

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Solution

The third proportional to 1,601,014 and 2,476,335 is: 3,830,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,014 : 2,476,335 = 2,476,335 : x
  2. Step 2: Convert to fraction form
    1,601,014/2,476,335 = 2,476,335/x
  3. Step 3: Cross multiply
    1,601,014x = 2,476,335 × 2,476,335
  4. Step 4: Simplify right side
    1,601,014x = 6,132,235,032,225
  5. Step 5: Solve for x
    x = 6,132,235,032,225/1,601,014
  6. Step 6: Final answer
    x = 3,830,219.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.