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Finding the Third Proportional to 448,724,175 and 689,295,274

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Solution

The third proportional to 448,724,175 and 689,295,274 is: 1,058,841,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,724,175 : 689,295,274 = 689,295,274 : x
  2. Step 2: Convert to fraction form
    448,724,175/689,295,274 = 689,295,274/x
  3. Step 3: Cross multiply
    448,724,175x = 689,295,274 × 689,295,274
  4. Step 4: Simplify right side
    448,724,175x = 475,127,974,758,735,104
  5. Step 5: Solve for x
    x = 475,127,974,758,735,104/448,724,175
  6. Step 6: Final answer
    x = 1,058,841,937.27

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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.