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Finding the Third Proportional to 1,258,701 and 1,935,834

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Solution

The third proportional to 1,258,701 and 1,935,834 is: 2,977,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,701 : 1,935,834 = 1,935,834 : x
  2. Step 2: Convert to fraction form
    1,258,701/1,935,834 = 1,935,834/x
  3. Step 3: Cross multiply
    1,258,701x = 1,935,834 × 1,935,834
  4. Step 4: Simplify right side
    1,258,701x = 3,747,453,275,556
  5. Step 5: Solve for x
    x = 3,747,453,275,556/1,258,701
  6. Step 6: Final answer
    x = 2,977,238.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.