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Finding the Third Proportional to 657,809 and 1,437,361

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Solution

The third proportional to 657,809 and 1,437,361 is: 3,140,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,809 : 1,437,361 = 1,437,361 : x
  2. Step 2: Convert to fraction form
    657,809/1,437,361 = 1,437,361/x
  3. Step 3: Cross multiply
    657,809x = 1,437,361 × 1,437,361
  4. Step 4: Simplify right side
    657,809x = 2,066,006,644,321
  5. Step 5: Solve for x
    x = 2,066,006,644,321/657,809
  6. Step 6: Final answer
    x = 3,140,739.40

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Why These Related Problems?

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