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Finding the Third Proportional to 642,306 and 1,411,765

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Solution

The third proportional to 642,306 and 1,411,765 is: 3,103,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,306 : 1,411,765 = 1,411,765 : x
  2. Step 2: Convert to fraction form
    642,306/1,411,765 = 1,411,765/x
  3. Step 3: Cross multiply
    642,306x = 1,411,765 × 1,411,765
  4. Step 4: Simplify right side
    642,306x = 1,993,080,415,225
  5. Step 5: Solve for x
    x = 1,993,080,415,225/642,306
  6. Step 6: Final answer
    x = 3,103,007.62

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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.