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Finding the Third Proportional to 506,405 and 1,106,911

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Solution

The third proportional to 506,405 and 1,106,911 is: 2,419,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,405 : 1,106,911 = 1,106,911 : x
  2. Step 2: Convert to fraction form
    506,405/1,106,911 = 1,106,911/x
  3. Step 3: Cross multiply
    506,405x = 1,106,911 × 1,106,911
  4. Step 4: Simplify right side
    506,405x = 1,225,251,961,921
  5. Step 5: Solve for x
    x = 1,225,251,961,921/506,405
  6. Step 6: Final answer
    x = 2,419,510.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.