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Finding the Third Proportional to 631,840 and 1,000,320

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Solution

The third proportional to 631,840 and 1,000,320 is: 1,583,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,840 : 1,000,320 = 1,000,320 : x
  2. Step 2: Convert to fraction form
    631,840/1,000,320 = 1,000,320/x
  3. Step 3: Cross multiply
    631,840x = 1,000,320 × 1,000,320
  4. Step 4: Simplify right side
    631,840x = 1,000,640,102,400
  5. Step 5: Solve for x
    x = 1,000,640,102,400/631,840
  6. Step 6: Final answer
    x = 1,583,692.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.