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Finding the Third Proportional to 830,169 and 1,252,878

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Solution

The third proportional to 830,169 and 1,252,878 is: 1,890,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,169 : 1,252,878 = 1,252,878 : x
  2. Step 2: Convert to fraction form
    830,169/1,252,878 = 1,252,878/x
  3. Step 3: Cross multiply
    830,169x = 1,252,878 × 1,252,878
  4. Step 4: Simplify right side
    830,169x = 1,569,703,282,884
  5. Step 5: Solve for x
    x = 1,569,703,282,884/830,169
  6. Step 6: Final answer
    x = 1,890,823.78

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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.