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Finding the Third Proportional to 745,232.63 and 1,616,491.13

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Solution

The third proportional to 745,232.63 and 1,616,491.13 is: 3,506,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,232.63 : 1,616,491.13 = 1,616,491.13 : x
  2. Step 2: Convert to fraction form
    745,232.63/1,616,491.13 = 1,616,491.13/x
  3. Step 3: Cross multiply
    745,232.63x = 1,616,491.13 × 1,616,491.13
  4. Step 4: Simplify right side
    745,232.63x = 2,613,043,557,203.77
  5. Step 5: Solve for x
    x = 2,613,043,557,203.77/745,232.63
  6. Step 6: Final answer
    x = 3,506,346.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.