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Finding the Third Proportional to 2,247,816 and 4,817,202

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Solution

The third proportional to 2,247,816 and 4,817,202 is: 10,323,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247,816 : 4,817,202 = 4,817,202 : x
  2. Step 2: Convert to fraction form
    2,247,816/4,817,202 = 4,817,202/x
  3. Step 3: Cross multiply
    2,247,816x = 4,817,202 × 4,817,202
  4. Step 4: Simplify right side
    2,247,816x = 23,205,435,108,804
  5. Step 5: Solve for x
    x = 23,205,435,108,804/2,247,816
  6. Step 6: Final answer
    x = 10,323,547.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.