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Finding the Third Proportional to 2,147,266.50 and 4,680,354

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Solution

The third proportional to 2,147,266.50 and 4,680,354 is: 10,201,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,266.50 : 4,680,354 = 4,680,354 : x
  2. Step 2: Convert to fraction form
    2,147,266.50/4,680,354 = 4,680,354/x
  3. Step 3: Cross multiply
    2,147,266.50x = 4,680,354 × 4,680,354
  4. Step 4: Simplify right side
    2,147,266.50x = 21,905,713,565,316
  5. Step 5: Solve for x
    x = 21,905,713,565,316/2,147,266.50
  6. Step 6: Final answer
    x = 10,201,674.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.