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Finding the Third Proportional to 2,413,284 and 4,765,656

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Solution

The third proportional to 2,413,284 and 4,765,656 is: 9,411,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,284 : 4,765,656 = 4,765,656 : x
  2. Step 2: Convert to fraction form
    2,413,284/4,765,656 = 4,765,656/x
  3. Step 3: Cross multiply
    2,413,284x = 4,765,656 × 4,765,656
  4. Step 4: Simplify right side
    2,413,284x = 22,711,477,110,336
  5. Step 5: Solve for x
    x = 22,711,477,110,336/2,413,284
  6. Step 6: Final answer
    x = 9,411,025.44

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.