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Finding the Third Proportional to 459,432 and 973,416

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Solution

The third proportional to 459,432 and 973,416 is: 2,062,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432 : 973,416 = 973,416 : x
  2. Step 2: Convert to fraction form
    459,432/973,416 = 973,416/x
  3. Step 3: Cross multiply
    459,432x = 973,416 × 973,416
  4. Step 4: Simplify right side
    459,432x = 947,538,709,056
  5. Step 5: Solve for x
    x = 947,538,709,056/459,432
  6. Step 6: Final answer
    x = 2,062,413.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.