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Finding the Third Proportional to 2,050,564 and 4,487,301

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Solution

The third proportional to 2,050,564 and 4,487,301 is: 9,819,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,564 : 4,487,301 = 4,487,301 : x
  2. Step 2: Convert to fraction form
    2,050,564/4,487,301 = 4,487,301/x
  3. Step 3: Cross multiply
    2,050,564x = 4,487,301 × 4,487,301
  4. Step 4: Simplify right side
    2,050,564x = 20,135,870,264,601
  5. Step 5: Solve for x
    x = 20,135,870,264,601/2,050,564
  6. Step 6: Final answer
    x = 9,819,674.13

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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.