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Finding the Third Proportional to 284,232,810 and 621,957,372

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Solution

The third proportional to 284,232,810 and 621,957,372 is: 1,360,965,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,232,810 : 621,957,372 = 621,957,372 : x
  2. Step 2: Convert to fraction form
    284,232,810/621,957,372 = 621,957,372/x
  3. Step 3: Cross multiply
    284,232,810x = 621,957,372 × 621,957,372
  4. Step 4: Simplify right side
    284,232,810x = 386,830,972,585,146,368
  5. Step 5: Solve for x
    x = 386,830,972,585,146,368/284,232,810
  6. Step 6: Final answer
    x = 1,360,965,233.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.