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Finding the Third Proportional to 1,823,572.50 and 3,968,242.50

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Solution

The third proportional to 1,823,572.50 and 3,968,242.50 is: 8,635,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,572.50 : 3,968,242.50 = 3,968,242.50 : x
  2. Step 2: Convert to fraction form
    1,823,572.50/3,968,242.50 = 3,968,242.50/x
  3. Step 3: Cross multiply
    1,823,572.50x = 3,968,242.50 × 3,968,242.50
  4. Step 4: Simplify right side
    1,823,572.50x = 15,746,948,538,806.25
  5. Step 5: Solve for x
    x = 15,746,948,538,806.25/1,823,572.50
  6. Step 6: Final answer
    x = 8,635,219.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.