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Finding the Third Proportional to 646,471.13 and 1,023,166.69

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Solution

The third proportional to 646,471.13 and 1,023,166.69 is: 1,619,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,471.13 : 1,023,166.69 = 1,023,166.69 : x
  2. Step 2: Convert to fraction form
    646,471.13/1,023,166.69 = 1,023,166.69/x
  3. Step 3: Cross multiply
    646,471.13x = 1,023,166.69 × 1,023,166.69
  4. Step 4: Simplify right side
    646,471.13x = 1,046,870,070,409.72
  5. Step 5: Solve for x
    x = 1,046,870,070,409.72/646,471.13
  6. Step 6: Final answer
    x = 1,619,360.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.