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Finding the Third Proportional to 986,272 and 1,260,276

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Solution

The third proportional to 986,272 and 1,260,276 is: 1,610,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,272 : 1,260,276 = 1,260,276 : x
  2. Step 2: Convert to fraction form
    986,272/1,260,276 = 1,260,276/x
  3. Step 3: Cross multiply
    986,272x = 1,260,276 × 1,260,276
  4. Step 4: Simplify right side
    986,272x = 1,588,295,596,176
  5. Step 5: Solve for x
    x = 1,588,295,596,176/986,272
  6. Step 6: Final answer
    x = 1,610,403.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.