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Finding the Third Proportional to 434,237.63 and 956,822.63

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Solution

The third proportional to 434,237.63 and 956,822.63 is: 2,108,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,237.63 : 956,822.63 = 956,822.63 : x
  2. Step 2: Convert to fraction form
    434,237.63/956,822.63 = 956,822.63/x
  3. Step 3: Cross multiply
    434,237.63x = 956,822.63 × 956,822.63
  4. Step 4: Simplify right side
    434,237.63x = 915,509,535,711.89
  5. Step 5: Solve for x
    x = 915,509,535,711.89/434,237.63
  6. Step 6: Final answer
    x = 2,108,314.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.