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Finding the Third Proportional to 783,127 and 1,658,911

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Solution

The third proportional to 783,127 and 1,658,911 is: 3,514,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,127 : 1,658,911 = 1,658,911 : x
  2. Step 2: Convert to fraction form
    783,127/1,658,911 = 1,658,911/x
  3. Step 3: Cross multiply
    783,127x = 1,658,911 × 1,658,911
  4. Step 4: Simplify right side
    783,127x = 2,751,985,705,921
  5. Step 5: Solve for x
    x = 2,751,985,705,921/783,127
  6. Step 6: Final answer
    x = 3,514,098.87

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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.