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Finding the Third Proportional to 734,871 and 1,574,718

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Solution

The third proportional to 734,871 and 1,574,718 is: 3,374,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,871 : 1,574,718 = 1,574,718 : x
  2. Step 2: Convert to fraction form
    734,871/1,574,718 = 1,574,718/x
  3. Step 3: Cross multiply
    734,871x = 1,574,718 × 1,574,718
  4. Step 4: Simplify right side
    734,871x = 2,479,736,779,524
  5. Step 5: Solve for x
    x = 2,479,736,779,524/734,871
  6. Step 6: Final answer
    x = 3,374,383.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.