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Finding the Third Proportional to 1,085,200.03 and 1,596,432.66

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Solution

The third proportional to 1,085,200.03 and 1,596,432.66 is: 2,348,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,200.03 : 1,596,432.66 = 1,596,432.66 : x
  2. Step 2: Convert to fraction form
    1,085,200.03/1,596,432.66 = 1,596,432.66/x
  3. Step 3: Cross multiply
    1,085,200.03x = 1,596,432.66 × 1,596,432.66
  4. Step 4: Simplify right side
    1,085,200.03x = 2,548,597,225,941.43
  5. Step 5: Solve for x
    x = 2,548,597,225,941.43/1,085,200.03
  6. Step 6: Final answer
    x = 2,348,504.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.