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Finding the Third Proportional to 872,546,735 and 1,305,728,643

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Solution

The third proportional to 872,546,735 and 1,305,728,643 is: 1,953,966,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,546,735 : 1,305,728,643 = 1,305,728,643 : x
  2. Step 2: Convert to fraction form
    872,546,735/1,305,728,643 = 1,305,728,643/x
  3. Step 3: Cross multiply
    872,546,735x = 1,305,728,643 × 1,305,728,643
  4. Step 4: Simplify right side
    872,546,735x = 1,704,927,289,150,621,440
  5. Step 5: Solve for x
    x = 1,704,927,289,150,621,440/872,546,735
  6. Step 6: Final answer
    x = 1,953,966,728.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.