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Finding the Third Proportional to 648,536.63 and 956,037.94

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Solution

The third proportional to 648,536.63 and 956,037.94 is: 1,409,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,536.63 : 956,037.94 = 956,037.94 : x
  2. Step 2: Convert to fraction form
    648,536.63/956,037.94 = 956,037.94/x
  3. Step 3: Cross multiply
    648,536.63x = 956,037.94 × 956,037.94
  4. Step 4: Simplify right side
    648,536.63x = 914,008,537,939.25
  5. Step 5: Solve for x
    x = 914,008,537,939.25/648,536.63
  6. Step 6: Final answer
    x = 1,409,339.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.