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Finding the Third Proportional to 424,319.06 and 915,068.25

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Solution

The third proportional to 424,319.06 and 915,068.25 is: 1,973,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,319.06 : 915,068.25 = 915,068.25 : x
  2. Step 2: Convert to fraction form
    424,319.06/915,068.25 = 915,068.25/x
  3. Step 3: Cross multiply
    424,319.06x = 915,068.25 × 915,068.25
  4. Step 4: Simplify right side
    424,319.06x = 837,349,902,158.06
  5. Step 5: Solve for x
    x = 837,349,902,158.06/424,319.06
  6. Step 6: Final answer
    x = 1,973,396.85

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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.