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Finding the Third Proportional to 607,124 and 891,016

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Solution

The third proportional to 607,124 and 891,016 is: 1,307,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,124 : 891,016 = 891,016 : x
  2. Step 2: Convert to fraction form
    607,124/891,016 = 891,016/x
  3. Step 3: Cross multiply
    607,124x = 891,016 × 891,016
  4. Step 4: Simplify right side
    607,124x = 793,909,512,256
  5. Step 5: Solve for x
    x = 793,909,512,256/607,124
  6. Step 6: Final answer
    x = 1,307,656.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.