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Finding the Third Proportional to 952,769 and 1,354,291

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Solution

The third proportional to 952,769 and 1,354,291 is: 1,925,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,769 : 1,354,291 = 1,354,291 : x
  2. Step 2: Convert to fraction form
    952,769/1,354,291 = 1,354,291/x
  3. Step 3: Cross multiply
    952,769x = 1,354,291 × 1,354,291
  4. Step 4: Simplify right side
    952,769x = 1,834,104,112,681
  5. Step 5: Solve for x
    x = 1,834,104,112,681/952,769
  6. Step 6: Final answer
    x = 1,925,024.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.