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Finding the Third Proportional to 872,546,733 and 1,305,728,640

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Solution

The third proportional to 872,546,733 and 1,305,728,640 is: 1,953,966,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,546,733 : 1,305,728,640 = 1,305,728,640 : x
  2. Step 2: Convert to fraction form
    872,546,733/1,305,728,640 = 1,305,728,640/x
  3. Step 3: Cross multiply
    872,546,733x = 1,305,728,640 × 1,305,728,640
  4. Step 4: Simplify right side
    872,546,733x = 1,704,927,281,316,249,600
  5. Step 5: Solve for x
    x = 1,704,927,281,316,249,600/872,546,733
  6. Step 6: Final answer
    x = 1,953,966,723.88

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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.