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Finding the Third Proportional to 3,072,744 and 4,426,411.50

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Solution

The third proportional to 3,072,744 and 4,426,411.50 is: 6,376,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072,744 : 4,426,411.50 = 4,426,411.50 : x
  2. Step 2: Convert to fraction form
    3,072,744/4,426,411.50 = 4,426,411.50/x
  3. Step 3: Cross multiply
    3,072,744x = 4,426,411.50 × 4,426,411.50
  4. Step 4: Simplify right side
    3,072,744x = 19,593,118,767,332.25
  5. Step 5: Solve for x
    x = 19,593,118,767,332.25/3,072,744
  6. Step 6: Final answer
    x = 6,376,424.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.