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Finding the Third Proportional to 768,154 and 1,162,842

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Solution

The third proportional to 768,154 and 1,162,842 is: 1,760,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,154 : 1,162,842 = 1,162,842 : x
  2. Step 2: Convert to fraction form
    768,154/1,162,842 = 1,162,842/x
  3. Step 3: Cross multiply
    768,154x = 1,162,842 × 1,162,842
  4. Step 4: Simplify right side
    768,154x = 1,352,201,516,964
  5. Step 5: Solve for x
    x = 1,352,201,516,964/768,154
  6. Step 6: Final answer
    x = 1,760,326.08

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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.