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Finding the Third Proportional to 738,602 and 1,606,613

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Solution

The third proportional to 738,602 and 1,606,613 is: 3,494,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,602 : 1,606,613 = 1,606,613 : x
  2. Step 2: Convert to fraction form
    738,602/1,606,613 = 1,606,613/x
  3. Step 3: Cross multiply
    738,602x = 1,606,613 × 1,606,613
  4. Step 4: Simplify right side
    738,602x = 2,581,205,331,769
  5. Step 5: Solve for x
    x = 2,581,205,331,769/738,602
  6. Step 6: Final answer
    x = 3,494,717.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.