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Finding the Third Proportional to 606,319 and 1,010,471

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Solution

The third proportional to 606,319 and 1,010,471 is: 1,684,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,319 : 1,010,471 = 1,010,471 : x
  2. Step 2: Convert to fraction form
    606,319/1,010,471 = 1,010,471/x
  3. Step 3: Cross multiply
    606,319x = 1,010,471 × 1,010,471
  4. Step 4: Simplify right side
    606,319x = 1,021,051,641,841
  5. Step 5: Solve for x
    x = 1,021,051,641,841/606,319
  6. Step 6: Final answer
    x = 1,684,017.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.