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Finding the Third Proportional to 647,476 and 1,015,700

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Solution

The third proportional to 647,476 and 1,015,700 is: 1,593,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,476 : 1,015,700 = 1,015,700 : x
  2. Step 2: Convert to fraction form
    647,476/1,015,700 = 1,015,700/x
  3. Step 3: Cross multiply
    647,476x = 1,015,700 × 1,015,700
  4. Step 4: Simplify right side
    647,476x = 1,031,646,490,000
  5. Step 5: Solve for x
    x = 1,031,646,490,000/647,476
  6. Step 6: Final answer
    x = 1,593,335.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.