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Finding the Third Proportional to 1,308,305,217 and 2,870,813,586

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Solution

The third proportional to 1,308,305,217 and 2,870,813,586 is: 6,299,425,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308,305,217 : 2,870,813,586 = 2,870,813,586 : x
  2. Step 2: Convert to fraction form
    1,308,305,217/2,870,813,586 = 2,870,813,586/x
  3. Step 3: Cross multiply
    1,308,305,217x = 2,870,813,586 × 2,870,813,586
  4. Step 4: Simplify right side
    1,308,305,217x = 8,241,570,645,562,179,584
  5. Step 5: Solve for x
    x = 8,241,570,645,562,179,584/1,308,305,217
  6. Step 6: Final answer
    x = 6,299,425,041.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.