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Finding the Third Proportional to 1,523,948 and 3,257,836

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Solution

The third proportional to 1,523,948 and 3,257,836 is: 6,964,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,948 : 3,257,836 = 3,257,836 : x
  2. Step 2: Convert to fraction form
    1,523,948/3,257,836 = 3,257,836/x
  3. Step 3: Cross multiply
    1,523,948x = 3,257,836 × 3,257,836
  4. Step 4: Simplify right side
    1,523,948x = 10,613,495,402,896
  5. Step 5: Solve for x
    x = 10,613,495,402,896/1,523,948
  6. Step 6: Final answer
    x = 6,964,473.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.