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Finding the Third Proportional to 637,776 and 1,353,312

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Solution

The third proportional to 637,776 and 1,353,312 is: 2,871,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,776 : 1,353,312 = 1,353,312 : x
  2. Step 2: Convert to fraction form
    637,776/1,353,312 = 1,353,312/x
  3. Step 3: Cross multiply
    637,776x = 1,353,312 × 1,353,312
  4. Step 4: Simplify right side
    637,776x = 1,831,453,369,344
  5. Step 5: Solve for x
    x = 1,831,453,369,344/637,776
  6. Step 6: Final answer
    x = 2,871,624.79

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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.