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Finding the Third Proportional to 409,710,229 and 901,141,967

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Solution

The third proportional to 409,710,229 and 901,141,967 is: 1,982,027,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,710,229 : 901,141,967 = 901,141,967 : x
  2. Step 2: Convert to fraction form
    409,710,229/901,141,967 = 901,141,967/x
  3. Step 3: Cross multiply
    409,710,229x = 901,141,967 × 901,141,967
  4. Step 4: Simplify right side
    409,710,229x = 812,056,844,688,629,120
  5. Step 5: Solve for x
    x = 812,056,844,688,629,120/409,710,229
  6. Step 6: Final answer
    x = 1,982,027,265.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.