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Finding the Third Proportional to 803,144 and 1,070,718

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Solution

The third proportional to 803,144 and 1,070,718 is: 1,427,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,144 : 1,070,718 = 1,070,718 : x
  2. Step 2: Convert to fraction form
    803,144/1,070,718 = 1,070,718/x
  3. Step 3: Cross multiply
    803,144x = 1,070,718 × 1,070,718
  4. Step 4: Simplify right side
    803,144x = 1,146,437,035,524
  5. Step 5: Solve for x
    x = 1,146,437,035,524/803,144
  6. Step 6: Final answer
    x = 1,427,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.