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Finding the Third Proportional to 1,244,821.50 and 1,878,663.38

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Solution

The third proportional to 1,244,821.50 and 1,878,663.38 is: 2,835,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,821.50 : 1,878,663.38 = 1,878,663.38 : x
  2. Step 2: Convert to fraction form
    1,244,821.50/1,878,663.38 = 1,878,663.38/x
  3. Step 3: Cross multiply
    1,244,821.50x = 1,878,663.38 × 1,878,663.38
  4. Step 4: Simplify right side
    1,244,821.50x = 3,529,376,076,566.39
  5. Step 5: Solve for x
    x = 3,529,376,076,566.39/1,244,821.50
  6. Step 6: Final answer
    x = 2,835,246.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.