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Finding the Third Proportional to 666,339.63 and 1,023,570.69

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Solution

The third proportional to 666,339.63 and 1,023,570.69 is: 1,572,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,339.63 : 1,023,570.69 = 1,023,570.69 : x
  2. Step 2: Convert to fraction form
    666,339.63/1,023,570.69 = 1,023,570.69/x
  3. Step 3: Cross multiply
    666,339.63x = 1,023,570.69 × 1,023,570.69
  4. Step 4: Simplify right side
    666,339.63x = 1,047,696,952,309.22
  5. Step 5: Solve for x
    x = 1,047,696,952,309.22/666,339.63
  6. Step 6: Final answer
    x = 1,572,316.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.