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Finding the Third Proportional to 711,153 and 1,080,552

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Solution

The third proportional to 711,153 and 1,080,552 is: 1,641,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,153 : 1,080,552 = 1,080,552 : x
  2. Step 2: Convert to fraction form
    711,153/1,080,552 = 1,080,552/x
  3. Step 3: Cross multiply
    711,153x = 1,080,552 × 1,080,552
  4. Step 4: Simplify right side
    711,153x = 1,167,592,624,704
  5. Step 5: Solve for x
    x = 1,167,592,624,704/711,153
  6. Step 6: Final answer
    x = 1,641,830.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.