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Finding the Third Proportional to 821,291 and 1,756,050

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Solution

The third proportional to 821,291 and 1,756,050 is: 3,754,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,291 : 1,756,050 = 1,756,050 : x
  2. Step 2: Convert to fraction form
    821,291/1,756,050 = 1,756,050/x
  3. Step 3: Cross multiply
    821,291x = 1,756,050 × 1,756,050
  4. Step 4: Simplify right side
    821,291x = 3,083,711,602,500
  5. Step 5: Solve for x
    x = 3,083,711,602,500/821,291
  6. Step 6: Final answer
    x = 3,754,712.52

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