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Finding the Third Proportional to 970,003.69 and 1,468,423.69

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Solution

The third proportional to 970,003.69 and 1,468,423.69 is: 2,222,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,003.69 : 1,468,423.69 = 1,468,423.69 : x
  2. Step 2: Convert to fraction form
    970,003.69/1,468,423.69 = 1,468,423.69/x
  3. Step 3: Cross multiply
    970,003.69x = 1,468,423.69 × 1,468,423.69
  4. Step 4: Simplify right side
    970,003.69x = 2,156,268,126,011.10
  5. Step 5: Solve for x
    x = 2,156,268,126,011.10/970,003.69
  6. Step 6: Final answer
    x = 2,222,948.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.