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Finding the Third Proportional to 605,214 and 910,432

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Solution

The third proportional to 605,214 and 910,432 is: 1,369,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,214 : 910,432 = 910,432 : x
  2. Step 2: Convert to fraction form
    605,214/910,432 = 910,432/x
  3. Step 3: Cross multiply
    605,214x = 910,432 × 910,432
  4. Step 4: Simplify right side
    605,214x = 828,886,426,624
  5. Step 5: Solve for x
    x = 828,886,426,624/605,214
  6. Step 6: Final answer
    x = 1,369,575.76

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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.