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Finding the Third Proportional to 663,711 and 1,029,426

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Solution

The third proportional to 663,711 and 1,029,426 is: 1,596,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,711 : 1,029,426 = 1,029,426 : x
  2. Step 2: Convert to fraction form
    663,711/1,029,426 = 1,029,426/x
  3. Step 3: Cross multiply
    663,711x = 1,029,426 × 1,029,426
  4. Step 4: Simplify right side
    663,711x = 1,059,717,889,476
  5. Step 5: Solve for x
    x = 1,059,717,889,476/663,711
  6. Step 6: Final answer
    x = 1,596,655.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.