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Finding the Third Proportional to 514,906 and 1,076,864

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Solution

The third proportional to 514,906 and 1,076,864 is: 2,252,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,906 : 1,076,864 = 1,076,864 : x
  2. Step 2: Convert to fraction form
    514,906/1,076,864 = 1,076,864/x
  3. Step 3: Cross multiply
    514,906x = 1,076,864 × 1,076,864
  4. Step 4: Simplify right side
    514,906x = 1,159,636,074,496
  5. Step 5: Solve for x
    x = 1,159,636,074,496/514,906
  6. Step 6: Final answer
    x = 2,252,131.60

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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.