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Finding the Third Proportional to 2,897,427 and 4,612,101

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Solution

The third proportional to 2,897,427 and 4,612,101 is: 7,341,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,427 : 4,612,101 = 4,612,101 : x
  2. Step 2: Convert to fraction form
    2,897,427/4,612,101 = 4,612,101/x
  3. Step 3: Cross multiply
    2,897,427x = 4,612,101 × 4,612,101
  4. Step 4: Simplify right side
    2,897,427x = 21,271,475,634,201
  5. Step 5: Solve for x
    x = 21,271,475,634,201/2,897,427
  6. Step 6: Final answer
    x = 7,341,505.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.