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Finding the Third Proportional to 1,153,369.13 and 1,730,053.69

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Solution

The third proportional to 1,153,369.13 and 1,730,053.69 is: 2,595,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,369.13 : 1,730,053.69 = 1,730,053.69 : x
  2. Step 2: Convert to fraction form
    1,153,369.13/1,730,053.69 = 1,730,053.69/x
  3. Step 3: Cross multiply
    1,153,369.13x = 1,730,053.69 × 1,730,053.69
  4. Step 4: Simplify right side
    1,153,369.13x = 2,993,085,761,632.35
  5. Step 5: Solve for x
    x = 2,993,085,761,632.35/1,153,369.13
  6. Step 6: Final answer
    x = 2,595,080.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.