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Finding the Third Proportional to 688,904 and 1,086,168

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Solution

The third proportional to 688,904 and 1,086,168 is: 1,712,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,904 : 1,086,168 = 1,086,168 : x
  2. Step 2: Convert to fraction form
    688,904/1,086,168 = 1,086,168/x
  3. Step 3: Cross multiply
    688,904x = 1,086,168 × 1,086,168
  4. Step 4: Simplify right side
    688,904x = 1,179,760,924,224
  5. Step 5: Solve for x
    x = 1,179,760,924,224/688,904
  6. Step 6: Final answer
    x = 1,712,518.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.