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Finding the Third Proportional to 476,934 and 1,010,730

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Solution

The third proportional to 476,934 and 1,010,730 is: 2,141,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,934 : 1,010,730 = 1,010,730 : x
  2. Step 2: Convert to fraction form
    476,934/1,010,730 = 1,010,730/x
  3. Step 3: Cross multiply
    476,934x = 1,010,730 × 1,010,730
  4. Step 4: Simplify right side
    476,934x = 1,021,575,132,900
  5. Step 5: Solve for x
    x = 1,021,575,132,900/476,934
  6. Step 6: Final answer
    x = 2,141,963.32

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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.