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Finding the Third Proportional to 712,054 and 1,102,170

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Solution

The third proportional to 712,054 and 1,102,170 is: 1,706,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,054 : 1,102,170 = 1,102,170 : x
  2. Step 2: Convert to fraction form
    712,054/1,102,170 = 1,102,170/x
  3. Step 3: Cross multiply
    712,054x = 1,102,170 × 1,102,170
  4. Step 4: Simplify right side
    712,054x = 1,214,778,708,900
  5. Step 5: Solve for x
    x = 1,214,778,708,900/712,054
  6. Step 6: Final answer
    x = 1,706,020.48

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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.