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Finding the Third Proportional to 1,974,042 and 4,247,532

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Solution

The third proportional to 1,974,042 and 4,247,532 is: 9,139,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,042 : 4,247,532 = 4,247,532 : x
  2. Step 2: Convert to fraction form
    1,974,042/4,247,532 = 4,247,532/x
  3. Step 3: Cross multiply
    1,974,042x = 4,247,532 × 4,247,532
  4. Step 4: Simplify right side
    1,974,042x = 18,041,528,091,024
  5. Step 5: Solve for x
    x = 18,041,528,091,024/1,974,042
  6. Step 6: Final answer
    x = 9,139,384.11

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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.