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Finding the Third Proportional to 491,593,201 and 1,053,305,388

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Solution

The third proportional to 491,593,201 and 1,053,305,388 is: 2,256,850,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,593,201 : 1,053,305,388 = 1,053,305,388 : x
  2. Step 2: Convert to fraction form
    491,593,201/1,053,305,388 = 1,053,305,388/x
  3. Step 3: Cross multiply
    491,593,201x = 1,053,305,388 × 1,053,305,388
  4. Step 4: Simplify right side
    491,593,201x = 1,109,452,240,389,830,528
  5. Step 5: Solve for x
    x = 1,109,452,240,389,830,528/491,593,201
  6. Step 6: Final answer
    x = 2,256,850,253.69

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