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Finding the Third Proportional to 468,461,608 and 1,017,567,248

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Solution

The third proportional to 468,461,608 and 1,017,567,248 is: 2,210,305,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461,608 : 1,017,567,248 = 1,017,567,248 : x
  2. Step 2: Convert to fraction form
    468,461,608/1,017,567,248 = 1,017,567,248/x
  3. Step 3: Cross multiply
    468,461,608x = 1,017,567,248 × 1,017,567,248
  4. Step 4: Simplify right side
    468,461,608x = 1,035,443,104,202,293,504
  5. Step 5: Solve for x
    x = 1,035,443,104,202,293,504/468,461,608
  6. Step 6: Final answer
    x = 2,210,305,148.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.