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Finding the Third Proportional to 462,169 and 1,000,154

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Solution

The third proportional to 462,169 and 1,000,154 is: 2,164,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,169 : 1,000,154 = 1,000,154 : x
  2. Step 2: Convert to fraction form
    462,169/1,000,154 = 1,000,154/x
  3. Step 3: Cross multiply
    462,169x = 1,000,154 × 1,000,154
  4. Step 4: Simplify right side
    462,169x = 1,000,308,023,716
  5. Step 5: Solve for x
    x = 1,000,308,023,716/462,169
  6. Step 6: Final answer
    x = 2,164,377.15

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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.