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Finding the Third Proportional to 462,154 and 1,000,124

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Solution

The third proportional to 462,154 and 1,000,124 is: 2,164,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,154 : 1,000,124 = 1,000,124 : x
  2. Step 2: Convert to fraction form
    462,154/1,000,124 = 1,000,124/x
  3. Step 3: Cross multiply
    462,154x = 1,000,124 × 1,000,124
  4. Step 4: Simplify right side
    462,154x = 1,000,248,015,376
  5. Step 5: Solve for x
    x = 1,000,248,015,376/462,154
  6. Step 6: Final answer
    x = 2,164,317.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.