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Finding the Third Proportional to 435,653.44 and 948,814.59

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Solution

The third proportional to 435,653.44 and 948,814.59 is: 2,066,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,653.44 : 948,814.59 = 948,814.59 : x
  2. Step 2: Convert to fraction form
    435,653.44/948,814.59 = 948,814.59/x
  3. Step 3: Cross multiply
    435,653.44x = 948,814.59 × 948,814.59
  4. Step 4: Simplify right side
    435,653.44x = 900,249,133,312.98
  5. Step 5: Solve for x
    x = 900,249,133,312.98/435,653.44
  6. Step 6: Final answer
    x = 2,066,434.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.