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Finding the Third Proportional to 881,481 and 1,929,066

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Solution

The third proportional to 881,481 and 1,929,066 is: 4,221,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,481 : 1,929,066 = 1,929,066 : x
  2. Step 2: Convert to fraction form
    881,481/1,929,066 = 1,929,066/x
  3. Step 3: Cross multiply
    881,481x = 1,929,066 × 1,929,066
  4. Step 4: Simplify right side
    881,481x = 3,721,295,632,356
  5. Step 5: Solve for x
    x = 3,721,295,632,356/881,481
  6. Step 6: Final answer
    x = 4,221,640.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.