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Finding the Third Proportional to 772,740 and 1,678,482

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Solution

The third proportional to 772,740 and 1,678,482 is: 3,645,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,740 : 1,678,482 = 1,678,482 : x
  2. Step 2: Convert to fraction form
    772,740/1,678,482 = 1,678,482/x
  3. Step 3: Cross multiply
    772,740x = 1,678,482 × 1,678,482
  4. Step 4: Simplify right side
    772,740x = 2,817,301,824,324
  5. Step 5: Solve for x
    x = 2,817,301,824,324/772,740
  6. Step 6: Final answer
    x = 3,645,859.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.