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Finding the Third Proportional to 657,249 and 1,345,584

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Solution

The third proportional to 657,249 and 1,345,584 is: 2,754,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,249 : 1,345,584 = 1,345,584 : x
  2. Step 2: Convert to fraction form
    657,249/1,345,584 = 1,345,584/x
  3. Step 3: Cross multiply
    657,249x = 1,345,584 × 1,345,584
  4. Step 4: Simplify right side
    657,249x = 1,810,596,301,056
  5. Step 5: Solve for x
    x = 1,810,596,301,056/657,249
  6. Step 6: Final answer
    x = 2,754,810.28

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.