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Finding the Third Proportional to 1,906,314 and 4,190,477.50

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Solution

The third proportional to 1,906,314 and 4,190,477.50 is: 9,211,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906,314 : 4,190,477.50 = 4,190,477.50 : x
  2. Step 2: Convert to fraction form
    1,906,314/4,190,477.50 = 4,190,477.50/x
  3. Step 3: Cross multiply
    1,906,314x = 4,190,477.50 × 4,190,477.50
  4. Step 4: Simplify right side
    1,906,314x = 17,560,101,678,006.25
  5. Step 5: Solve for x
    x = 17,560,101,678,006.25/1,906,314
  6. Step 6: Final answer
    x = 9,211,547.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.