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Finding the Third Proportional to 772,776 and 1,663,647.75

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Solution

The third proportional to 772,776 and 1,663,647.75 is: 3,581,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,776 : 1,663,647.75 = 1,663,647.75 : x
  2. Step 2: Convert to fraction form
    772,776/1,663,647.75 = 1,663,647.75/x
  3. Step 3: Cross multiply
    772,776x = 1,663,647.75 × 1,663,647.75
  4. Step 4: Simplify right side
    772,776x = 2,767,723,836,080.06
  5. Step 5: Solve for x
    x = 2,767,723,836,080.06/772,776
  6. Step 6: Final answer
    x = 3,581,534.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.