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Finding the Third Proportional to 2,030,685 and 2,695,549.50

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Solution

The third proportional to 2,030,685 and 2,695,549.50 is: 3,578,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,685 : 2,695,549.50 = 2,695,549.50 : x
  2. Step 2: Convert to fraction form
    2,030,685/2,695,549.50 = 2,695,549.50/x
  3. Step 3: Cross multiply
    2,030,685x = 2,695,549.50 × 2,695,549.50
  4. Step 4: Simplify right side
    2,030,685x = 7,265,987,106,950.25
  5. Step 5: Solve for x
    x = 7,265,987,106,950.25/2,030,685
  6. Step 6: Final answer
    x = 3,578,096.61

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.