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Finding the Third Proportional to 665,830 and 1,043,370

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Solution

The third proportional to 665,830 and 1,043,370 is: 1,634,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,830 : 1,043,370 = 1,043,370 : x
  2. Step 2: Convert to fraction form
    665,830/1,043,370 = 1,043,370/x
  3. Step 3: Cross multiply
    665,830x = 1,043,370 × 1,043,370
  4. Step 4: Simplify right side
    665,830x = 1,088,620,956,900
  5. Step 5: Solve for x
    x = 1,088,620,956,900/665,830
  6. Step 6: Final answer
    x = 1,634,983.34

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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.