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Finding the Third Proportional to 684,714 and 1,001,714

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Solution

The third proportional to 684,714 and 1,001,714 is: 1,465,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,714 : 1,001,714 = 1,001,714 : x
  2. Step 2: Convert to fraction form
    684,714/1,001,714 = 1,001,714/x
  3. Step 3: Cross multiply
    684,714x = 1,001,714 × 1,001,714
  4. Step 4: Simplify right side
    684,714x = 1,003,430,937,796
  5. Step 5: Solve for x
    x = 1,003,430,937,796/684,714
  6. Step 6: Final answer
    x = 1,465,474.55

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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.