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Finding the Third Proportional to 691,346 and 1,437,871

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Solution

The third proportional to 691,346 and 1,437,871 is: 2,990,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,346 : 1,437,871 = 1,437,871 : x
  2. Step 2: Convert to fraction form
    691,346/1,437,871 = 1,437,871/x
  3. Step 3: Cross multiply
    691,346x = 1,437,871 × 1,437,871
  4. Step 4: Simplify right side
    691,346x = 2,067,473,012,641
  5. Step 5: Solve for x
    x = 2,067,473,012,641/691,346
  6. Step 6: Final answer
    x = 2,990,504.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.