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Finding the Third Proportional to 684,684 and 1,001,666

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Solution

The third proportional to 684,684 and 1,001,666 is: 1,465,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,684 : 1,001,666 = 1,001,666 : x
  2. Step 2: Convert to fraction form
    684,684/1,001,666 = 1,001,666/x
  3. Step 3: Cross multiply
    684,684x = 1,001,666 × 1,001,666
  4. Step 4: Simplify right side
    684,684x = 1,003,334,775,556
  5. Step 5: Solve for x
    x = 1,003,334,775,556/684,684
  6. Step 6: Final answer
    x = 1,465,398.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.