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Finding the Third Proportional to 985,599 and 1,440,980

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Solution

The third proportional to 985,599 and 1,440,980 is: 2,106,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,599 : 1,440,980 = 1,440,980 : x
  2. Step 2: Convert to fraction form
    985,599/1,440,980 = 1,440,980/x
  3. Step 3: Cross multiply
    985,599x = 1,440,980 × 1,440,980
  4. Step 4: Simplify right side
    985,599x = 2,076,423,360,400
  5. Step 5: Solve for x
    x = 2,076,423,360,400/985,599
  6. Step 6: Final answer
    x = 2,106,762.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.