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Finding the Third Proportional to 448,724,173 and 689,295,271

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Solution

The third proportional to 448,724,173 and 689,295,271 is: 1,058,841,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,173 : 689,295,271 = 689,295,271 : x
  2. Step 2: Convert to fraction form
    448,724,173/689,295,271 = 689,295,271/x
  3. Step 3: Cross multiply
    448,724,173x = 689,295,271 × 689,295,271
  4. Step 4: Simplify right side
    448,724,173x = 475,127,970,622,963,456
  5. Step 5: Solve for x
    x = 475,127,970,622,963,456/448,724,173
  6. Step 6: Final answer
    x = 1,058,841,932.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.