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Finding the Third Proportional to 705,028 and 1,490,426

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Solution

The third proportional to 705,028 and 1,490,426 is: 3,150,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,028 : 1,490,426 = 1,490,426 : x
  2. Step 2: Convert to fraction form
    705,028/1,490,426 = 1,490,426/x
  3. Step 3: Cross multiply
    705,028x = 1,490,426 × 1,490,426
  4. Step 4: Simplify right side
    705,028x = 2,221,369,661,476
  5. Step 5: Solve for x
    x = 2,221,369,661,476/705,028
  6. Step 6: Final answer
    x = 3,150,753.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.