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Finding the Third Proportional to 424,319.63 and 915,069.38

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Solution

The third proportional to 424,319.63 and 915,069.38 is: 1,973,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,319.63 : 915,069.38 = 915,069.38 : x
  2. Step 2: Convert to fraction form
    424,319.63/915,069.38 = 915,069.38/x
  3. Step 3: Cross multiply
    424,319.63x = 915,069.38 × 915,069.38
  4. Step 4: Simplify right side
    424,319.63x = 837,351,961,062.89
  5. Step 5: Solve for x
    x = 837,351,961,062.89/424,319.63
  6. Step 6: Final answer
    x = 1,973,399.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.