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Finding the Third Proportional to 756,712 and 1,605,668

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Solution

The third proportional to 756,712 and 1,605,668 is: 3,407,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,712 : 1,605,668 = 1,605,668 : x
  2. Step 2: Convert to fraction form
    756,712/1,605,668 = 1,605,668/x
  3. Step 3: Cross multiply
    756,712x = 1,605,668 × 1,605,668
  4. Step 4: Simplify right side
    756,712x = 2,578,169,726,224
  5. Step 5: Solve for x
    x = 2,578,169,726,224/756,712
  6. Step 6: Final answer
    x = 3,407,068.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.