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Finding the Third Proportional to 711,434 and 1,093,392

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Solution

The third proportional to 711,434 and 1,093,392 is: 1,680,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,434 : 1,093,392 = 1,093,392 : x
  2. Step 2: Convert to fraction form
    711,434/1,093,392 = 1,093,392/x
  3. Step 3: Cross multiply
    711,434x = 1,093,392 × 1,093,392
  4. Step 4: Simplify right side
    711,434x = 1,195,506,065,664
  5. Step 5: Solve for x
    x = 1,195,506,065,664/711,434
  6. Step 6: Final answer
    x = 1,680,417.39

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