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Finding the Third Proportional to 474,298,110 and 1,027,758,276

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Solution

The third proportional to 474,298,110 and 1,027,758,276 is: 2,227,053,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,298,110 : 1,027,758,276 = 1,027,758,276 : x
  2. Step 2: Convert to fraction form
    474,298,110/1,027,758,276 = 1,027,758,276/x
  3. Step 3: Cross multiply
    474,298,110x = 1,027,758,276 × 1,027,758,276
  4. Step 4: Simplify right side
    474,298,110x = 1,056,287,073,886,492,160
  5. Step 5: Solve for x
    x = 1,056,287,073,886,492,160/474,298,110
  6. Step 6: Final answer
    x = 2,227,053,095.12

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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.