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Finding the Third Proportional to 761,442 and 1,637,714

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Solution

The third proportional to 761,442 and 1,637,714 is: 3,522,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,442 : 1,637,714 = 1,637,714 : x
  2. Step 2: Convert to fraction form
    761,442/1,637,714 = 1,637,714/x
  3. Step 3: Cross multiply
    761,442x = 1,637,714 × 1,637,714
  4. Step 4: Simplify right side
    761,442x = 2,682,107,145,796
  5. Step 5: Solve for x
    x = 2,682,107,145,796/761,442
  6. Step 6: Final answer
    x = 3,522,405.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.