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Finding the Third Proportional to 742,669 and 1,082,707.50

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Solution

The third proportional to 742,669 and 1,082,707.50 is: 1,578,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,669 : 1,082,707.50 = 1,082,707.50 : x
  2. Step 2: Convert to fraction form
    742,669/1,082,707.50 = 1,082,707.50/x
  3. Step 3: Cross multiply
    742,669x = 1,082,707.50 × 1,082,707.50
  4. Step 4: Simplify right side
    742,669x = 1,172,255,530,556.25
  5. Step 5: Solve for x
    x = 1,172,255,530,556.25/742,669
  6. Step 6: Final answer
    x = 1,578,436.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.