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Finding the Third Proportional to 435,470.63 and 941,005.13

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Solution

The third proportional to 435,470.63 and 941,005.13 is: 2,033,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,470.63 : 941,005.13 = 941,005.13 : x
  2. Step 2: Convert to fraction form
    435,470.63/941,005.13 = 941,005.13/x
  3. Step 3: Cross multiply
    435,470.63x = 941,005.13 × 941,005.13
  4. Step 4: Simplify right side
    435,470.63x = 885,490,645,276.27
  5. Step 5: Solve for x
    x = 885,490,645,276.27/435,470.63
  6. Step 6: Final answer
    x = 2,033,410.74

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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.