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Finding the Third Proportional to 646,770 and 1,004,322

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Solution

The third proportional to 646,770 and 1,004,322 is: 1,559,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,770 : 1,004,322 = 1,004,322 : x
  2. Step 2: Convert to fraction form
    646,770/1,004,322 = 1,004,322/x
  3. Step 3: Cross multiply
    646,770x = 1,004,322 × 1,004,322
  4. Step 4: Simplify right side
    646,770x = 1,008,662,679,684
  5. Step 5: Solve for x
    x = 1,008,662,679,684/646,770
  6. Step 6: Final answer
    x = 1,559,538.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.