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Finding the Third Proportional to 524,946 and 1,084,887

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Solution

The third proportional to 524,946 and 1,084,887 is: 2,242,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,946 : 1,084,887 = 1,084,887 : x
  2. Step 2: Convert to fraction form
    524,946/1,084,887 = 1,084,887/x
  3. Step 3: Cross multiply
    524,946x = 1,084,887 × 1,084,887
  4. Step 4: Simplify right side
    524,946x = 1,176,979,802,769
  5. Step 5: Solve for x
    x = 1,176,979,802,769/524,946
  6. Step 6: Final answer
    x = 2,242,096.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.