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Finding the Third Proportional to 657,320 and 1,381,052

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Solution

The third proportional to 657,320 and 1,381,052 is: 2,901,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,320 : 1,381,052 = 1,381,052 : x
  2. Step 2: Convert to fraction form
    657,320/1,381,052 = 1,381,052/x
  3. Step 3: Cross multiply
    657,320x = 1,381,052 × 1,381,052
  4. Step 4: Simplify right side
    657,320x = 1,907,304,626,704
  5. Step 5: Solve for x
    x = 1,907,304,626,704/657,320
  6. Step 6: Final answer
    x = 2,901,637.90

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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.