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Finding the Third Proportional to 535,838.63 and 1,155,805.88

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Solution

The third proportional to 535,838.63 and 1,155,805.88 is: 2,493,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,838.63 : 1,155,805.88 = 1,155,805.88 : x
  2. Step 2: Convert to fraction form
    535,838.63/1,155,805.88 = 1,155,805.88/x
  3. Step 3: Cross multiply
    535,838.63x = 1,155,805.88 × 1,155,805.88
  4. Step 4: Simplify right side
    535,838.63x = 1,335,887,220,684.52
  5. Step 5: Solve for x
    x = 1,335,887,220,684.52/535,838.63
  6. Step 6: Final answer
    x = 2,493,077.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.