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Finding the Third Proportional to 1,845,706 and 4,004,724

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Solution

The third proportional to 1,845,706 and 4,004,724 is: 8,689,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845,706 : 4,004,724 = 4,004,724 : x
  2. Step 2: Convert to fraction form
    1,845,706/4,004,724 = 4,004,724/x
  3. Step 3: Cross multiply
    1,845,706x = 4,004,724 × 4,004,724
  4. Step 4: Simplify right side
    1,845,706x = 16,037,814,316,176
  5. Step 5: Solve for x
    x = 16,037,814,316,176/1,845,706
  6. Step 6: Final answer
    x = 8,689,257.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.