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Finding the Third Proportional to 2,220,584 and 4,771,574

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Solution

The third proportional to 2,220,584 and 4,771,574 is: 10,253,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,584 : 4,771,574 = 4,771,574 : x
  2. Step 2: Convert to fraction form
    2,220,584/4,771,574 = 4,771,574/x
  3. Step 3: Cross multiply
    2,220,584x = 4,771,574 × 4,771,574
  4. Step 4: Simplify right side
    2,220,584x = 22,767,918,437,476
  5. Step 5: Solve for x
    x = 22,767,918,437,476/2,220,584
  6. Step 6: Final answer
    x = 10,253,121.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.