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Finding the Third Proportional to 286,074,720 and 617,875,236

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Solution

The third proportional to 286,074,720 and 617,875,236 is: 1,334,510,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,074,720 : 617,875,236 = 617,875,236 : x
  2. Step 2: Convert to fraction form
    286,074,720/617,875,236 = 617,875,236/x
  3. Step 3: Cross multiply
    286,074,720x = 617,875,236 × 617,875,236
  4. Step 4: Simplify right side
    286,074,720x = 381,769,807,262,055,680
  5. Step 5: Solve for x
    x = 381,769,807,262,055,680/286,074,720
  6. Step 6: Final answer
    x = 1,334,510,813.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.