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Finding the Third Proportional to 535,908 and 1,159,297

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Solution

The third proportional to 535,908 and 1,159,297 is: 2,507,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,908 : 1,159,297 = 1,159,297 : x
  2. Step 2: Convert to fraction form
    535,908/1,159,297 = 1,159,297/x
  3. Step 3: Cross multiply
    535,908x = 1,159,297 × 1,159,297
  4. Step 4: Simplify right side
    535,908x = 1,343,969,534,209
  5. Step 5: Solve for x
    x = 1,343,969,534,209/535,908
  6. Step 6: Final answer
    x = 2,507,836.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.