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Finding the Third Proportional to 460,222,945 and 988,750,258

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Solution

The third proportional to 460,222,945 and 988,750,258 is: 2,124,246,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,222,945 : 988,750,258 = 988,750,258 : x
  2. Step 2: Convert to fraction form
    460,222,945/988,750,258 = 988,750,258/x
  3. Step 3: Cross multiply
    460,222,945x = 988,750,258 × 988,750,258
  4. Step 4: Simplify right side
    460,222,945x = 977,627,072,695,066,624
  5. Step 5: Solve for x
    x = 977,627,072,695,066,624/460,222,945
  6. Step 6: Final answer
    x = 2,124,246,701.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.