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Finding the Third Proportional to 2,065,174.50 and 4,473,577.50

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Solution

The third proportional to 2,065,174.50 and 4,473,577.50 is: 9,690,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,174.50 : 4,473,577.50 = 4,473,577.50 : x
  2. Step 2: Convert to fraction form
    2,065,174.50/4,473,577.50 = 4,473,577.50/x
  3. Step 3: Cross multiply
    2,065,174.50x = 4,473,577.50 × 4,473,577.50
  4. Step 4: Simplify right side
    2,065,174.50x = 20,012,895,648,506.25
  5. Step 5: Solve for x
    x = 20,012,895,648,506.25/2,065,174.50
  6. Step 6: Final answer
    x = 9,690,655.99

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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.