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Finding the Third Proportional to 745,516 and 1,609,994.50

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Solution

The third proportional to 745,516 and 1,609,994.50 is: 3,476,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,516 : 1,609,994.50 = 1,609,994.50 : x
  2. Step 2: Convert to fraction form
    745,516/1,609,994.50 = 1,609,994.50/x
  3. Step 3: Cross multiply
    745,516x = 1,609,994.50 × 1,609,994.50
  4. Step 4: Simplify right side
    745,516x = 2,592,082,290,030.25
  5. Step 5: Solve for x
    x = 2,592,082,290,030.25/745,516
  6. Step 6: Final answer
    x = 3,476,896.93

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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.