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Finding the Third Proportional to 484,804 and 1,132,304

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Solution

The third proportional to 484,804 and 1,132,304 is: 2,644,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,804 : 1,132,304 = 1,132,304 : x
  2. Step 2: Convert to fraction form
    484,804/1,132,304 = 1,132,304/x
  3. Step 3: Cross multiply
    484,804x = 1,132,304 × 1,132,304
  4. Step 4: Simplify right side
    484,804x = 1,282,112,348,416
  5. Step 5: Solve for x
    x = 1,282,112,348,416/484,804
  6. Step 6: Final answer
    x = 2,644,599.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.