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Finding the Third Proportional to 422,127 and 923,076

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Solution

The third proportional to 422,127 and 923,076 is: 2,018,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,127 : 923,076 = 923,076 : x
  2. Step 2: Convert to fraction form
    422,127/923,076 = 923,076/x
  3. Step 3: Cross multiply
    422,127x = 923,076 × 923,076
  4. Step 4: Simplify right side
    422,127x = 852,069,301,776
  5. Step 5: Solve for x
    x = 852,069,301,776/422,127
  6. Step 6: Final answer
    x = 2,018,514.10

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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.