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Finding the Third Proportional to 678,820 and 1,425,896

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Solution

The third proportional to 678,820 and 1,425,896 is: 2,995,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,820 : 1,425,896 = 1,425,896 : x
  2. Step 2: Convert to fraction form
    678,820/1,425,896 = 1,425,896/x
  3. Step 3: Cross multiply
    678,820x = 1,425,896 × 1,425,896
  4. Step 4: Simplify right side
    678,820x = 2,033,179,402,816
  5. Step 5: Solve for x
    x = 2,033,179,402,816/678,820
  6. Step 6: Final answer
    x = 2,995,167.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.