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Finding the Third Proportional to 666,476 and 1,032,276

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Solution

The third proportional to 666,476 and 1,032,276 is: 1,598,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,476 : 1,032,276 = 1,032,276 : x
  2. Step 2: Convert to fraction form
    666,476/1,032,276 = 1,032,276/x
  3. Step 3: Cross multiply
    666,476x = 1,032,276 × 1,032,276
  4. Step 4: Simplify right side
    666,476x = 1,065,593,740,176
  5. Step 5: Solve for x
    x = 1,065,593,740,176/666,476
  6. Step 6: Final answer
    x = 1,598,847.88

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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.