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Finding the Third Proportional to 424,085.63 and 921,800.25

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Solution

The third proportional to 424,085.63 and 921,800.25 is: 2,003,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,085.63 : 921,800.25 = 921,800.25 : x
  2. Step 2: Convert to fraction form
    424,085.63/921,800.25 = 921,800.25/x
  3. Step 3: Cross multiply
    424,085.63x = 921,800.25 × 921,800.25
  4. Step 4: Simplify right side
    424,085.63x = 849,715,700,900.06
  5. Step 5: Solve for x
    x = 849,715,700,900.06/424,085.63
  6. Step 6: Final answer
    x = 2,003,641.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.