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Finding the Third Proportional to 704,605 and 1,543,871

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Solution

The third proportional to 704,605 and 1,543,871 is: 3,382,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,605 : 1,543,871 = 1,543,871 : x
  2. Step 2: Convert to fraction form
    704,605/1,543,871 = 1,543,871/x
  3. Step 3: Cross multiply
    704,605x = 1,543,871 × 1,543,871
  4. Step 4: Simplify right side
    704,605x = 2,383,537,664,641
  5. Step 5: Solve for x
    x = 2,383,537,664,641/704,605
  6. Step 6: Final answer
    x = 3,382,799.82

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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.