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Finding the Third Proportional to 973,982 and 2,134,764

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Solution

The third proportional to 973,982 and 2,134,764 is: 4,678,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,982 : 2,134,764 = 2,134,764 : x
  2. Step 2: Convert to fraction form
    973,982/2,134,764 = 2,134,764/x
  3. Step 3: Cross multiply
    973,982x = 2,134,764 × 2,134,764
  4. Step 4: Simplify right side
    973,982x = 4,557,217,335,696
  5. Step 5: Solve for x
    x = 4,557,217,335,696/973,982
  6. Step 6: Final answer
    x = 4,678,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.