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Finding the Third Proportional to 1,781,294 and 3,882,284

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Solution

The third proportional to 1,781,294 and 3,882,284 is: 8,461,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,294 : 3,882,284 = 3,882,284 : x
  2. Step 2: Convert to fraction form
    1,781,294/3,882,284 = 3,882,284/x
  3. Step 3: Cross multiply
    1,781,294x = 3,882,284 × 3,882,284
  4. Step 4: Simplify right side
    1,781,294x = 15,072,129,056,656
  5. Step 5: Solve for x
    x = 15,072,129,056,656/1,781,294
  6. Step 6: Final answer
    x = 8,461,337.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.