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Finding the Third Proportional to 1,897,511 and 4,066,211

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Solution

The third proportional to 1,897,511 and 4,066,211 is: 8,713,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897,511 : 4,066,211 = 4,066,211 : x
  2. Step 2: Convert to fraction form
    1,897,511/4,066,211 = 4,066,211/x
  3. Step 3: Cross multiply
    1,897,511x = 4,066,211 × 4,066,211
  4. Step 4: Simplify right side
    1,897,511x = 16,534,071,896,521
  5. Step 5: Solve for x
    x = 16,534,071,896,521/1,897,511
  6. Step 6: Final answer
    x = 8,713,557.86

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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.