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Finding the Third Proportional to 775,569 and 1,117,047

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Solution

The third proportional to 775,569 and 1,117,047 is: 1,608,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,569 : 1,117,047 = 1,117,047 : x
  2. Step 2: Convert to fraction form
    775,569/1,117,047 = 1,117,047/x
  3. Step 3: Cross multiply
    775,569x = 1,117,047 × 1,117,047
  4. Step 4: Simplify right side
    775,569x = 1,247,794,000,209
  5. Step 5: Solve for x
    x = 1,247,794,000,209/775,569
  6. Step 6: Final answer
    x = 1,608,875.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.