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Finding the Third Proportional to 1,939,642.50 and 4,215,030

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Solution

The third proportional to 1,939,642.50 and 4,215,030 is: 9,159,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939,642.50 : 4,215,030 = 4,215,030 : x
  2. Step 2: Convert to fraction form
    1,939,642.50/4,215,030 = 4,215,030/x
  3. Step 3: Cross multiply
    1,939,642.50x = 4,215,030 × 4,215,030
  4. Step 4: Simplify right side
    1,939,642.50x = 17,766,477,900,900
  5. Step 5: Solve for x
    x = 17,766,477,900,900/1,939,642.50
  6. Step 6: Final answer
    x = 9,159,666.23

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