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Finding the Third Proportional to 480,684 and 1,112,754

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Solution

The third proportional to 480,684 and 1,112,754 is: 2,575,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,684 : 1,112,754 = 1,112,754 : x
  2. Step 2: Convert to fraction form
    480,684/1,112,754 = 1,112,754/x
  3. Step 3: Cross multiply
    480,684x = 1,112,754 × 1,112,754
  4. Step 4: Simplify right side
    480,684x = 1,238,221,464,516
  5. Step 5: Solve for x
    x = 1,238,221,464,516/480,684
  6. Step 6: Final answer
    x = 2,575,957.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.