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Finding the Third Proportional to 642,218.63 and 1,411,560

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Solution

The third proportional to 642,218.63 and 1,411,560 is: 3,102,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,218.63 : 1,411,560 = 1,411,560 : x
  2. Step 2: Convert to fraction form
    642,218.63/1,411,560 = 1,411,560/x
  3. Step 3: Cross multiply
    642,218.63x = 1,411,560 × 1,411,560
  4. Step 4: Simplify right side
    642,218.63x = 1,992,501,633,600
  5. Step 5: Solve for x
    x = 1,992,501,633,600/642,218.63
  6. Step 6: Final answer
    x = 3,102,528.57

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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.