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Finding the Third Proportional to 1,590,417 and 3,477,706

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Solution

The third proportional to 1,590,417 and 3,477,706 is: 7,604,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,417 : 3,477,706 = 3,477,706 : x
  2. Step 2: Convert to fraction form
    1,590,417/3,477,706 = 3,477,706/x
  3. Step 3: Cross multiply
    1,590,417x = 3,477,706 × 3,477,706
  4. Step 4: Simplify right side
    1,590,417x = 12,094,439,022,436
  5. Step 5: Solve for x
    x = 12,094,439,022,436/1,590,417
  6. Step 6: Final answer
    x = 7,604,571.02

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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.