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Finding the Third Proportional to 1,019,845.69 and 1,586,359.69

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Solution

The third proportional to 1,019,845.69 and 1,586,359.69 is: 2,467,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,845.69 : 1,586,359.69 = 1,586,359.69 : x
  2. Step 2: Convert to fraction form
    1,019,845.69/1,586,359.69 = 1,586,359.69/x
  3. Step 3: Cross multiply
    1,019,845.69x = 1,586,359.69 × 1,586,359.69
  4. Step 4: Simplify right side
    1,019,845.69x = 2,516,537,058,125.10
  5. Step 5: Solve for x
    x = 2,516,537,058,125.10/1,019,845.69
  6. Step 6: Final answer
    x = 2,467,566.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.