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Finding the Third Proportional to 1,527,904 and 3,237,946

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Solution

The third proportional to 1,527,904 and 3,237,946 is: 6,861,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,904 : 3,237,946 = 3,237,946 : x
  2. Step 2: Convert to fraction form
    1,527,904/3,237,946 = 3,237,946/x
  3. Step 3: Cross multiply
    1,527,904x = 3,237,946 × 3,237,946
  4. Step 4: Simplify right side
    1,527,904x = 10,484,294,298,916
  5. Step 5: Solve for x
    x = 10,484,294,298,916/1,527,904
  6. Step 6: Final answer
    x = 6,861,880.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.