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Finding the Third Proportional to 637,840 and 1,353,424

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Solution

The third proportional to 637,840 and 1,353,424 is: 2,871,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,840 : 1,353,424 = 1,353,424 : x
  2. Step 2: Convert to fraction form
    637,840/1,353,424 = 1,353,424/x
  3. Step 3: Cross multiply
    637,840x = 1,353,424 × 1,353,424
  4. Step 4: Simplify right side
    637,840x = 1,831,756,523,776
  5. Step 5: Solve for x
    x = 1,831,756,523,776/637,840
  6. Step 6: Final answer
    x = 2,871,811.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.