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Finding the Third Proportional to 460,562,206 and 658,609,371

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Solution

The third proportional to 460,562,206 and 658,609,371 is: 941,819,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,562,206 : 658,609,371 = 658,609,371 : x
  2. Step 2: Convert to fraction form
    460,562,206/658,609,371 = 658,609,371/x
  3. Step 3: Cross multiply
    460,562,206x = 658,609,371 × 658,609,371
  4. Step 4: Simplify right side
    460,562,206x = 433,766,303,569,015,616
  5. Step 5: Solve for x
    x = 433,766,303,569,015,616/460,562,206
  6. Step 6: Final answer
    x = 941,819,146.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.