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Finding the Third Proportional to 623,140 and 933,678

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Solution

The third proportional to 623,140 and 933,678 is: 1,398,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,140 : 933,678 = 933,678 : x
  2. Step 2: Convert to fraction form
    623,140/933,678 = 933,678/x
  3. Step 3: Cross multiply
    623,140x = 933,678 × 933,678
  4. Step 4: Simplify right side
    623,140x = 871,754,607,684
  5. Step 5: Solve for x
    x = 871,754,607,684/623,140
  6. Step 6: Final answer
    x = 1,398,970.71

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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.