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Finding the Third Proportional to 906,066 and 1,905,363

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Solution

The third proportional to 906,066 and 1,905,363 is: 4,006,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,066 : 1,905,363 = 1,905,363 : x
  2. Step 2: Convert to fraction form
    906,066/1,905,363 = 1,905,363/x
  3. Step 3: Cross multiply
    906,066x = 1,905,363 × 1,905,363
  4. Step 4: Simplify right side
    906,066x = 3,630,408,161,769
  5. Step 5: Solve for x
    x = 3,630,408,161,769/906,066
  6. Step 6: Final answer
    x = 4,006,781.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.