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Finding the Third Proportional to 983,256 and 1,501,128

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Solution

The third proportional to 983,256 and 1,501,128 is: 2,291,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,256 : 1,501,128 = 1,501,128 : x
  2. Step 2: Convert to fraction form
    983,256/1,501,128 = 1,501,128/x
  3. Step 3: Cross multiply
    983,256x = 1,501,128 × 1,501,128
  4. Step 4: Simplify right side
    983,256x = 2,253,385,272,384
  5. Step 5: Solve for x
    x = 2,253,385,272,384/983,256
  6. Step 6: Final answer
    x = 2,291,758.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.