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Finding the Third Proportional to 1,611,600 and 2,506,828

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Solution

The third proportional to 1,611,600 and 2,506,828 is: 3,899,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611,600 : 2,506,828 = 2,506,828 : x
  2. Step 2: Convert to fraction form
    1,611,600/2,506,828 = 2,506,828/x
  3. Step 3: Cross multiply
    1,611,600x = 2,506,828 × 2,506,828
  4. Step 4: Simplify right side
    1,611,600x = 6,284,186,621,584
  5. Step 5: Solve for x
    x = 6,284,186,621,584/1,611,600
  6. Step 6: Final answer
    x = 3,899,346.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.