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Finding the Third Proportional to 935,469 and 1,411,668

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Solution

The third proportional to 935,469 and 1,411,668 is: 2,130,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,469 : 1,411,668 = 1,411,668 : x
  2. Step 2: Convert to fraction form
    935,469/1,411,668 = 1,411,668/x
  3. Step 3: Cross multiply
    935,469x = 1,411,668 × 1,411,668
  4. Step 4: Simplify right side
    935,469x = 1,992,806,542,224
  5. Step 5: Solve for x
    x = 1,992,806,542,224/935,469
  6. Step 6: Final answer
    x = 2,130,275.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.