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Finding the Third Proportional to 460,003,128 and 997,620,464

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Solution

The third proportional to 460,003,128 and 997,620,464 is: 2,163,564,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,003,128 : 997,620,464 = 997,620,464 : x
  2. Step 2: Convert to fraction form
    460,003,128/997,620,464 = 997,620,464/x
  3. Step 3: Cross multiply
    460,003,128x = 997,620,464 × 997,620,464
  4. Step 4: Simplify right side
    460,003,128x = 995,246,590,191,575,296
  5. Step 5: Solve for x
    x = 995,246,590,191,575,296/460,003,128
  6. Step 6: Final answer
    x = 2,163,564,831.65

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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.