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Finding the Third Proportional to 514,922 and 1,076,924

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Solution

The third proportional to 514,922 and 1,076,924 is: 2,252,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,922 : 1,076,924 = 1,076,924 : x
  2. Step 2: Convert to fraction form
    514,922/1,076,924 = 1,076,924/x
  3. Step 3: Cross multiply
    514,922x = 1,076,924 × 1,076,924
  4. Step 4: Simplify right side
    514,922x = 1,159,765,301,776
  5. Step 5: Solve for x
    x = 1,159,765,301,776/514,922
  6. Step 6: Final answer
    x = 2,252,312.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.