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Finding the Third Proportional to 749,605.13 and 1,645,055.81

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Solution

The third proportional to 749,605.13 and 1,645,055.81 is: 3,610,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,605.13 : 1,645,055.81 = 1,645,055.81 : x
  2. Step 2: Convert to fraction form
    749,605.13/1,645,055.81 = 1,645,055.81/x
  3. Step 3: Cross multiply
    749,605.13x = 1,645,055.81 × 1,645,055.81
  4. Step 4: Simplify right side
    749,605.13x = 2,706,208,626,240.04
  5. Step 5: Solve for x
    x = 2,706,208,626,240.04/749,605.13
  6. Step 6: Final answer
    x = 3,610,178.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.