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Finding the Third Proportional to 771,712 and 1,668,192

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Solution

The third proportional to 771,712 and 1,668,192 is: 3,606,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,712 : 1,668,192 = 1,668,192 : x
  2. Step 2: Convert to fraction form
    771,712/1,668,192 = 1,668,192/x
  3. Step 3: Cross multiply
    771,712x = 1,668,192 × 1,668,192
  4. Step 4: Simplify right side
    771,712x = 2,782,864,548,864
  5. Step 5: Solve for x
    x = 2,782,864,548,864/771,712
  6. Step 6: Final answer
    x = 3,606,092.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.