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Finding the Third Proportional to 1,855,264.50 and 4,010,350.50

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Solution

The third proportional to 1,855,264.50 and 4,010,350.50 is: 8,668,796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,264.50 : 4,010,350.50 = 4,010,350.50 : x
  2. Step 2: Convert to fraction form
    1,855,264.50/4,010,350.50 = 4,010,350.50/x
  3. Step 3: Cross multiply
    1,855,264.50x = 4,010,350.50 × 4,010,350.50
  4. Step 4: Simplify right side
    1,855,264.50x = 16,082,911,132,850.25
  5. Step 5: Solve for x
    x = 16,082,911,132,850.25/1,855,264.50
  6. Step 6: Final answer
    x = 8,668,796.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.