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Finding the Third Proportional to 476,929 and 1,010,720

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Solution

The third proportional to 476,929 and 1,010,720 is: 2,141,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,929 : 1,010,720 = 1,010,720 : x
  2. Step 2: Convert to fraction form
    476,929/1,010,720 = 1,010,720/x
  3. Step 3: Cross multiply
    476,929x = 1,010,720 × 1,010,720
  4. Step 4: Simplify right side
    476,929x = 1,021,554,918,400
  5. Step 5: Solve for x
    x = 1,021,554,918,400/476,929
  6. Step 6: Final answer
    x = 2,141,943.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.