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Finding the Third Proportional to 475,326 and 1,032,624

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Solution

The third proportional to 475,326 and 1,032,624 is: 2,243,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,326 : 1,032,624 = 1,032,624 : x
  2. Step 2: Convert to fraction form
    475,326/1,032,624 = 1,032,624/x
  3. Step 3: Cross multiply
    475,326x = 1,032,624 × 1,032,624
  4. Step 4: Simplify right side
    475,326x = 1,066,312,325,376
  5. Step 5: Solve for x
    x = 1,066,312,325,376/475,326
  6. Step 6: Final answer
    x = 2,243,328.42

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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.