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Finding the Third Proportional to 745,241.63 and 1,616,509.13

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Solution

The third proportional to 745,241.63 and 1,616,509.13 is: 3,506,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,241.63 : 1,616,509.13 = 1,616,509.13 : x
  2. Step 2: Convert to fraction form
    745,241.63/1,616,509.13 = 1,616,509.13/x
  3. Step 3: Cross multiply
    745,241.63x = 1,616,509.13 × 1,616,509.13
  4. Step 4: Simplify right side
    745,241.63x = 2,613,101,751,208.27
  5. Step 5: Solve for x
    x = 2,613,101,751,208.27/745,241.63
  6. Step 6: Final answer
    x = 3,506,381.91

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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.