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Finding the Third Proportional to 711,052 and 1,536,376

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Solution

The third proportional to 711,052 and 1,536,376 is: 3,319,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,052 : 1,536,376 = 1,536,376 : x
  2. Step 2: Convert to fraction form
    711,052/1,536,376 = 1,536,376/x
  3. Step 3: Cross multiply
    711,052x = 1,536,376 × 1,536,376
  4. Step 4: Simplify right side
    711,052x = 2,360,451,213,376
  5. Step 5: Solve for x
    x = 2,360,451,213,376/711,052
  6. Step 6: Final answer
    x = 3,319,660.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.