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Finding the Third Proportional to 623,106 and 933,613

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Solution

The third proportional to 623,106 and 933,613 is: 1,398,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,106 : 933,613 = 933,613 : x
  2. Step 2: Convert to fraction form
    623,106/933,613 = 933,613/x
  3. Step 3: Cross multiply
    623,106x = 933,613 × 933,613
  4. Step 4: Simplify right side
    623,106x = 871,633,233,769
  5. Step 5: Solve for x
    x = 871,633,233,769/623,106
  6. Step 6: Final answer
    x = 1,398,852.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.