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Finding the Third Proportional to 502,004 and 1,076,798

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Solution

The third proportional to 502,004 and 1,076,798 is: 2,309,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,004 : 1,076,798 = 1,076,798 : x
  2. Step 2: Convert to fraction form
    502,004/1,076,798 = 1,076,798/x
  3. Step 3: Cross multiply
    502,004x = 1,076,798 × 1,076,798
  4. Step 4: Simplify right side
    502,004x = 1,159,493,932,804
  5. Step 5: Solve for x
    x = 1,159,493,932,804/502,004
  6. Step 6: Final answer
    x = 2,309,730.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.