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Finding the Third Proportional to 711,414 and 1,093,365

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Solution

The third proportional to 711,414 and 1,093,365 is: 1,680,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,414 : 1,093,365 = 1,093,365 : x
  2. Step 2: Convert to fraction form
    711,414/1,093,365 = 1,093,365/x
  3. Step 3: Cross multiply
    711,414x = 1,093,365 × 1,093,365
  4. Step 4: Simplify right side
    711,414x = 1,195,447,023,225
  5. Step 5: Solve for x
    x = 1,195,447,023,225/711,414
  6. Step 6: Final answer
    x = 1,680,381.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.