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Finding the Third Proportional to 1,971,270 and 4,277,142

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Solution

The third proportional to 1,971,270 and 4,277,142 is: 9,280,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,270 : 4,277,142 = 4,277,142 : x
  2. Step 2: Convert to fraction form
    1,971,270/4,277,142 = 4,277,142/x
  3. Step 3: Cross multiply
    1,971,270x = 4,277,142 × 4,277,142
  4. Step 4: Simplify right side
    1,971,270x = 18,293,943,688,164
  5. Step 5: Solve for x
    x = 18,293,943,688,164/1,971,270
  6. Step 6: Final answer
    x = 9,280,283.11

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