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Finding the Third Proportional to 850,514 and 1,823,140

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Solution

The third proportional to 850,514 and 1,823,140 is: 3,908,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,514 : 1,823,140 = 1,823,140 : x
  2. Step 2: Convert to fraction form
    850,514/1,823,140 = 1,823,140/x
  3. Step 3: Cross multiply
    850,514x = 1,823,140 × 1,823,140
  4. Step 4: Simplify right side
    850,514x = 3,323,839,459,600
  5. Step 5: Solve for x
    x = 3,323,839,459,600/850,514
  6. Step 6: Final answer
    x = 3,908,036.15

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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.