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Finding the Third Proportional to 464,544 and 1,005,120

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Solution

The third proportional to 464,544 and 1,005,120 is: 2,174,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,544 : 1,005,120 = 1,005,120 : x
  2. Step 2: Convert to fraction form
    464,544/1,005,120 = 1,005,120/x
  3. Step 3: Cross multiply
    464,544x = 1,005,120 × 1,005,120
  4. Step 4: Simplify right side
    464,544x = 1,010,266,214,400
  5. Step 5: Solve for x
    x = 1,010,266,214,400/464,544
  6. Step 6: Final answer
    x = 2,174,748.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.