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Finding the Third Proportional to 484,773 and 1,041,509

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Solution

The third proportional to 484,773 and 1,041,509 is: 2,237,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,773 : 1,041,509 = 1,041,509 : x
  2. Step 2: Convert to fraction form
    484,773/1,041,509 = 1,041,509/x
  3. Step 3: Cross multiply
    484,773x = 1,041,509 × 1,041,509
  4. Step 4: Simplify right side
    484,773x = 1,084,740,997,081
  5. Step 5: Solve for x
    x = 1,084,740,997,081/484,773
  6. Step 6: Final answer
    x = 2,237,626.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.