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Finding the Third Proportional to 656,342 and 1,440,985

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Solution

The third proportional to 656,342 and 1,440,985 is: 3,163,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,342 : 1,440,985 = 1,440,985 : x
  2. Step 2: Convert to fraction form
    656,342/1,440,985 = 1,440,985/x
  3. Step 3: Cross multiply
    656,342x = 1,440,985 × 1,440,985
  4. Step 4: Simplify right side
    656,342x = 2,076,437,770,225
  5. Step 5: Solve for x
    x = 2,076,437,770,225/656,342
  6. Step 6: Final answer
    x = 3,163,652.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.