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Finding the Third Proportional to 657,824 and 1,437,390

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Solution

The third proportional to 657,824 and 1,437,390 is: 3,140,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,824 : 1,437,390 = 1,437,390 : x
  2. Step 2: Convert to fraction form
    657,824/1,437,390 = 1,437,390/x
  3. Step 3: Cross multiply
    657,824x = 1,437,390 × 1,437,390
  4. Step 4: Simplify right side
    657,824x = 2,066,090,012,100
  5. Step 5: Solve for x
    x = 2,066,090,012,100/657,824
  6. Step 6: Final answer
    x = 3,140,794.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.