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Finding the Third Proportional to 460,348,424 and 986,359,262

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Solution

The third proportional to 460,348,424 and 986,359,262 is: 2,113,409,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,348,424 : 986,359,262 = 986,359,262 : x
  2. Step 2: Convert to fraction form
    460,348,424/986,359,262 = 986,359,262/x
  3. Step 3: Cross multiply
    460,348,424x = 986,359,262 × 986,359,262
  4. Step 4: Simplify right side
    460,348,424x = 972,904,593,733,184,640
  5. Step 5: Solve for x
    x = 972,904,593,733,184,640/460,348,424
  6. Step 6: Final answer
    x = 2,113,409,198.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.