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Finding the Third Proportional to 497,458.13 and 1,065,889.13

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Solution

The third proportional to 497,458.13 and 1,065,889.13 is: 2,283,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,458.13 : 1,065,889.13 = 1,065,889.13 : x
  2. Step 2: Convert to fraction form
    497,458.13/1,065,889.13 = 1,065,889.13/x
  3. Step 3: Cross multiply
    497,458.13x = 1,065,889.13 × 1,065,889.13
  4. Step 4: Simplify right side
    497,458.13x = 1,136,119,626,793.27
  5. Step 5: Solve for x
    x = 1,136,119,626,793.27/497,458.13
  6. Step 6: Final answer
    x = 2,283,849.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.