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Finding the Third Proportional to 692,102 and 1,501,708

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Solution

The third proportional to 692,102 and 1,501,708 is: 3,258,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,102 : 1,501,708 = 1,501,708 : x
  2. Step 2: Convert to fraction form
    692,102/1,501,708 = 1,501,708/x
  3. Step 3: Cross multiply
    692,102x = 1,501,708 × 1,501,708
  4. Step 4: Simplify right side
    692,102x = 2,255,126,917,264
  5. Step 5: Solve for x
    x = 2,255,126,917,264/692,102
  6. Step 6: Final answer
    x = 3,258,373.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.