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Finding the Third Proportional to 809,764 and 1,153,528

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Solution

The third proportional to 809,764 and 1,153,528 is: 1,643,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,764 : 1,153,528 = 1,153,528 : x
  2. Step 2: Convert to fraction form
    809,764/1,153,528 = 1,153,528/x
  3. Step 3: Cross multiply
    809,764x = 1,153,528 × 1,153,528
  4. Step 4: Simplify right side
    809,764x = 1,330,626,846,784
  5. Step 5: Solve for x
    x = 1,330,626,846,784/809,764
  6. Step 6: Final answer
    x = 1,643,227.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.