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Finding the Third Proportional to 2,152,472 and 4,724,784

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Solution

The third proportional to 2,152,472 and 4,724,784 is: 10,371,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,472 : 4,724,784 = 4,724,784 : x
  2. Step 2: Convert to fraction form
    2,152,472/4,724,784 = 4,724,784/x
  3. Step 3: Cross multiply
    2,152,472x = 4,724,784 × 4,724,784
  4. Step 4: Simplify right side
    2,152,472x = 22,323,583,846,656
  5. Step 5: Solve for x
    x = 22,323,583,846,656/2,152,472
  6. Step 6: Final answer
    x = 10,371,137.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.