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Finding the Third Proportional to 570,726 and 884,944

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Solution

The third proportional to 570,726 and 884,944 is: 1,372,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,726 : 884,944 = 884,944 : x
  2. Step 2: Convert to fraction form
    570,726/884,944 = 884,944/x
  3. Step 3: Cross multiply
    570,726x = 884,944 × 884,944
  4. Step 4: Simplify right side
    570,726x = 783,125,883,136
  5. Step 5: Solve for x
    x = 783,125,883,136/570,726
  6. Step 6: Final answer
    x = 1,372,157.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.