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Finding the Third Proportional to 1,031,640 and 1,577,989

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Solution

The third proportional to 1,031,640 and 1,577,989 is: 2,413,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,640 : 1,577,989 = 1,577,989 : x
  2. Step 2: Convert to fraction form
    1,031,640/1,577,989 = 1,577,989/x
  3. Step 3: Cross multiply
    1,031,640x = 1,577,989 × 1,577,989
  4. Step 4: Simplify right side
    1,031,640x = 2,490,049,284,121
  5. Step 5: Solve for x
    x = 2,490,049,284,121/1,031,640
  6. Step 6: Final answer
    x = 2,413,680.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.