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Finding the Third Proportional to 460,003,130 and 997,620,468

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Solution

The third proportional to 460,003,130 and 997,620,468 is: 2,163,564,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,003,130 : 997,620,468 = 997,620,468 : x
  2. Step 2: Convert to fraction form
    460,003,130/997,620,468 = 997,620,468/x
  3. Step 3: Cross multiply
    460,003,130x = 997,620,468 × 997,620,468
  4. Step 4: Simplify right side
    460,003,130x = 995,246,598,172,539,008
  5. Step 5: Solve for x
    x = 995,246,598,172,539,008/460,003,130
  6. Step 6: Final answer
    x = 2,163,564,839.60

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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.