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Finding the Third Proportional to 825,403.50 and 1,246,428

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Solution

The third proportional to 825,403.50 and 1,246,428 is: 1,882,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,403.50 : 1,246,428 = 1,246,428 : x
  2. Step 2: Convert to fraction form
    825,403.50/1,246,428 = 1,246,428/x
  3. Step 3: Cross multiply
    825,403.50x = 1,246,428 × 1,246,428
  4. Step 4: Simplify right side
    825,403.50x = 1,553,582,759,184
  5. Step 5: Solve for x
    x = 1,553,582,759,184/825,403.50
  6. Step 6: Final answer
    x = 1,882,210.05

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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.