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Finding the Third Proportional to 1,020,821.91 and 1,387,214.44

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Solution

The third proportional to 1,020,821.91 and 1,387,214.44 is: 1,885,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,821.91 : 1,387,214.44 = 1,387,214.44 : x
  2. Step 2: Convert to fraction form
    1,020,821.91/1,387,214.44 = 1,387,214.44/x
  3. Step 3: Cross multiply
    1,020,821.91x = 1,387,214.44 × 1,387,214.44
  4. Step 4: Simplify right side
    1,020,821.91x = 1,924,363,895,608.44
  5. Step 5: Solve for x
    x = 1,924,363,895,608.44/1,020,821.91
  6. Step 6: Final answer
    x = 1,885,112.26

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.