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Finding the Third Proportional to 705,512 and 1,064,829

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Solution

The third proportional to 705,512 and 1,064,829 is: 1,607,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,512 : 1,064,829 = 1,064,829 : x
  2. Step 2: Convert to fraction form
    705,512/1,064,829 = 1,064,829/x
  3. Step 3: Cross multiply
    705,512x = 1,064,829 × 1,064,829
  4. Step 4: Simplify right side
    705,512x = 1,133,860,799,241
  5. Step 5: Solve for x
    x = 1,133,860,799,241/705,512
  6. Step 6: Final answer
    x = 1,607,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.