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Finding the Third Proportional to 1,277,237.50 and 2,128,644

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Solution

The third proportional to 1,277,237.50 and 2,128,644 is: 3,547,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,237.50 : 2,128,644 = 2,128,644 : x
  2. Step 2: Convert to fraction form
    1,277,237.50/2,128,644 = 2,128,644/x
  3. Step 3: Cross multiply
    1,277,237.50x = 2,128,644 × 2,128,644
  4. Step 4: Simplify right side
    1,277,237.50x = 4,531,125,278,736
  5. Step 5: Solve for x
    x = 4,531,125,278,736/1,277,237.50
  6. Step 6: Final answer
    x = 3,547,598.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.