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Finding the Third Proportional to 611,464 and 880,736

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Solution

The third proportional to 611,464 and 880,736 is: 1,268,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,464 : 880,736 = 880,736 : x
  2. Step 2: Convert to fraction form
    611,464/880,736 = 880,736/x
  3. Step 3: Cross multiply
    611,464x = 880,736 × 880,736
  4. Step 4: Simplify right side
    611,464x = 775,695,901,696
  5. Step 5: Solve for x
    x = 775,695,901,696/611,464
  6. Step 6: Final answer
    x = 1,268,588.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.