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Finding the Third Proportional to 1,827,715.50 and 3,960,207

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Solution

The third proportional to 1,827,715.50 and 3,960,207 is: 8,580,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,715.50 : 3,960,207 = 3,960,207 : x
  2. Step 2: Convert to fraction form
    1,827,715.50/3,960,207 = 3,960,207/x
  3. Step 3: Cross multiply
    1,827,715.50x = 3,960,207 × 3,960,207
  4. Step 4: Simplify right side
    1,827,715.50x = 15,683,239,482,849
  5. Step 5: Solve for x
    x = 15,683,239,482,849/1,827,715.50
  6. Step 6: Final answer
    x = 8,580,788.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.