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Finding the Third Proportional to 675,498 and 1,054,143

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Solution

The third proportional to 675,498 and 1,054,143 is: 1,645,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,498 : 1,054,143 = 1,054,143 : x
  2. Step 2: Convert to fraction form
    675,498/1,054,143 = 1,054,143/x
  3. Step 3: Cross multiply
    675,498x = 1,054,143 × 1,054,143
  4. Step 4: Simplify right side
    675,498x = 1,111,217,464,449
  5. Step 5: Solve for x
    x = 1,111,217,464,449/675,498
  6. Step 6: Final answer
    x = 1,645,034.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.