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Finding the Third Proportional to 452,602.69 and 942,407.16

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Solution

The third proportional to 452,602.69 and 942,407.16 is: 1,962,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,602.69 : 942,407.16 = 942,407.16 : x
  2. Step 2: Convert to fraction form
    452,602.69/942,407.16 = 942,407.16/x
  3. Step 3: Cross multiply
    452,602.69x = 942,407.16 × 942,407.16
  4. Step 4: Simplify right side
    452,602.69x = 888,131,248,151.21
  5. Step 5: Solve for x
    x = 888,131,248,151.21/452,602.69
  6. Step 6: Final answer
    x = 1,962,275.68

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.