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Finding the Third Proportional to 711,974.25 and 1,070,985.38

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Solution

The third proportional to 711,974.25 and 1,070,985.38 is: 1,611,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,974.25 : 1,070,985.38 = 1,070,985.38 : x
  2. Step 2: Convert to fraction form
    711,974.25/1,070,985.38 = 1,070,985.38/x
  3. Step 3: Cross multiply
    711,974.25x = 1,070,985.38 × 1,070,985.38
  4. Step 4: Simplify right side
    711,974.25x = 1,147,009,673,463.89
  5. Step 5: Solve for x
    x = 1,147,009,673,463.89/711,974.25
  6. Step 6: Final answer
    x = 1,611,026.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.