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Finding the Third Proportional to 537,444 and 1,173,128

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Solution

The third proportional to 537,444 and 1,173,128 is: 2,560,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,444 : 1,173,128 = 1,173,128 : x
  2. Step 2: Convert to fraction form
    537,444/1,173,128 = 1,173,128/x
  3. Step 3: Cross multiply
    537,444x = 1,173,128 × 1,173,128
  4. Step 4: Simplify right side
    537,444x = 1,376,229,304,384
  5. Step 5: Solve for x
    x = 1,376,229,304,384/537,444
  6. Step 6: Final answer
    x = 2,560,693.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.