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Finding the Third Proportional to 456,445 and 926,714

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Solution

The third proportional to 456,445 and 926,714 is: 1,881,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,445 : 926,714 = 926,714 : x
  2. Step 2: Convert to fraction form
    456,445/926,714 = 926,714/x
  3. Step 3: Cross multiply
    456,445x = 926,714 × 926,714
  4. Step 4: Simplify right side
    456,445x = 858,798,837,796
  5. Step 5: Solve for x
    x = 858,798,837,796/456,445
  6. Step 6: Final answer
    x = 1,881,494.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.