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Finding the Third Proportional to 546,176 and 1,135,952

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Solution

The third proportional to 546,176 and 1,135,952 is: 2,362,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,176 : 1,135,952 = 1,135,952 : x
  2. Step 2: Convert to fraction form
    546,176/1,135,952 = 1,135,952/x
  3. Step 3: Cross multiply
    546,176x = 1,135,952 × 1,135,952
  4. Step 4: Simplify right side
    546,176x = 1,290,386,946,304
  5. Step 5: Solve for x
    x = 1,290,386,946,304/546,176
  6. Step 6: Final answer
    x = 2,362,584.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.