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Finding the Third Proportional to 456,451 and 985,072.50

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Solution

The third proportional to 456,451 and 985,072.50 is: 2,125,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,451 : 985,072.50 = 985,072.50 : x
  2. Step 2: Convert to fraction form
    456,451/985,072.50 = 985,072.50/x
  3. Step 3: Cross multiply
    456,451x = 985,072.50 × 985,072.50
  4. Step 4: Simplify right side
    456,451x = 970,367,830,256.25
  5. Step 5: Solve for x
    x = 970,367,830,256.25/456,451
  6. Step 6: Final answer
    x = 2,125,897.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.