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Finding the Third Proportional to 2,881,584 and 6,210,072

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Solution

The third proportional to 2,881,584 and 6,210,072 is: 13,383,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,584 : 6,210,072 = 6,210,072 : x
  2. Step 2: Convert to fraction form
    2,881,584/6,210,072 = 6,210,072/x
  3. Step 3: Cross multiply
    2,881,584x = 6,210,072 × 6,210,072
  4. Step 4: Simplify right side
    2,881,584x = 38,564,994,245,184
  5. Step 5: Solve for x
    x = 38,564,994,245,184/2,881,584
  6. Step 6: Final answer
    x = 13,383,262.21

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Why These Related Problems?

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