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Finding the Third Proportional to 482,319 and 1,031,076

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Solution

The third proportional to 482,319 and 1,031,076 is: 2,204,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,319 : 1,031,076 = 1,031,076 : x
  2. Step 2: Convert to fraction form
    482,319/1,031,076 = 1,031,076/x
  3. Step 3: Cross multiply
    482,319x = 1,031,076 × 1,031,076
  4. Step 4: Simplify right side
    482,319x = 1,063,117,717,776
  5. Step 5: Solve for x
    x = 1,063,117,717,776/482,319
  6. Step 6: Final answer
    x = 2,204,179.64

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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.