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Finding the Third Proportional to 3,657,828 and 5,696,086.50

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Solution

The third proportional to 3,657,828 and 5,696,086.50 is: 8,870,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657,828 : 5,696,086.50 = 5,696,086.50 : x
  2. Step 2: Convert to fraction form
    3,657,828/5,696,086.50 = 5,696,086.50/x
  3. Step 3: Cross multiply
    3,657,828x = 5,696,086.50 × 5,696,086.50
  4. Step 4: Simplify right side
    3,657,828x = 32,445,401,415,482.25
  5. Step 5: Solve for x
    x = 32,445,401,415,482.25/3,657,828
  6. Step 6: Final answer
    x = 8,870,127.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.