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Finding the Third Proportional to 1,307,654 and 2,821,736

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Solution

The third proportional to 1,307,654 and 2,821,736 is: 6,088,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,654 : 2,821,736 = 2,821,736 : x
  2. Step 2: Convert to fraction form
    1,307,654/2,821,736 = 2,821,736/x
  3. Step 3: Cross multiply
    1,307,654x = 2,821,736 × 2,821,736
  4. Step 4: Simplify right side
    1,307,654x = 7,962,194,053,696
  5. Step 5: Solve for x
    x = 7,962,194,053,696/1,307,654
  6. Step 6: Final answer
    x = 6,088,915.00

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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.