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Finding the Third Proportional to 1,031,648.91 and 2,262,588.47

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Solution

The third proportional to 1,031,648.91 and 2,262,588.47 is: 4,962,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,648.91 : 2,262,588.47 = 2,262,588.47 : x
  2. Step 2: Convert to fraction form
    1,031,648.91/2,262,588.47 = 2,262,588.47/x
  3. Step 3: Cross multiply
    1,031,648.91x = 2,262,588.47 × 2,262,588.47
  4. Step 4: Simplify right side
    1,031,648.91x = 5,119,306,578,920.47
  5. Step 5: Solve for x
    x = 5,119,306,578,920.47/1,031,648.91
  6. Step 6: Final answer
    x = 4,962,256.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.