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Finding the Third Proportional to 642,230 and 1,411,582

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Solution

The third proportional to 642,230 and 1,411,582 is: 3,102,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,230 : 1,411,582 = 1,411,582 : x
  2. Step 2: Convert to fraction form
    642,230/1,411,582 = 1,411,582/x
  3. Step 3: Cross multiply
    642,230x = 1,411,582 × 1,411,582
  4. Step 4: Simplify right side
    642,230x = 1,992,563,742,724
  5. Step 5: Solve for x
    x = 1,992,563,742,724/642,230
  6. Step 6: Final answer
    x = 3,102,570.33

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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.